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3784045056 = 29311376053
BaseRepresentation
bin1110000110001011…
…1111001000000000
3100202201100101221220
43201202333020000
530222203420211
61423253115040
7162525565221
oct34142771000
910681311856
103784045056
111671aa4070
12897328a80
13483c6c21c
1427c7bb248
15172318806
hexe18bf200

3784045056 has 160 divisors (see below), whose sum is σ = 11296473408. Its totient is φ = 1115504640.

The previous prime is 3784045033. The next prime is 3784045087. The reversal of 3784045056 is 6505404873.

It is a junction number, because it is equal to n+sod(n) for n = 3784044999 and 3784045017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622126 + ... + 628178.

Almost surely, 23784045056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784045056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648236704).

3784045056 is an abundant number, since it is smaller than the sum of its proper divisors (7512428352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3784045056 is a wasteful number, since it uses less digits than its factorization.

3784045056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6122 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 3784045056 is about 61514.5922200578. The cubic root of 3784045056 is about 1558.3036919740.

The spelling of 3784045056 in words is "three billion, seven hundred eighty-four million, forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 512 528 592 704 768 814 888 1056 1184 1221 1408 1536 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 5632 6053 6512 7104 8448 9472 9768 12106 13024 14208 16896 18159 18944 19536 24212 26048 28416 36318 39072 48424 52096 56832 66583 72636 78144 96848 104192 133166 145272 156288 193696 199749 208384 223961 266332 290544 312576 387392 399498 447922 532664 581088 625152 671883 774784 798996 895844 1065328 1162176 1343766 1549568 1597992 1791688 2130656 2324352 2463571 2687532 3099136 3195984 3583376 4261312 4648704 4927142 5375064 6391968 7166752 7390713 8522624 9297408 9854284 10750128 12783936 14333504 14781426 17045248 19708568 21500256 25567872 28667008 29562852 34090496 39417136 43000512 51135744 57334016 59125704 78834272 86001024 102271488 114668032 118251408 157668544 172002048 236502816 315337088 344004096 473005632 630674176 946011264 1261348352 1892022528 3784045056