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2062204672 = 28111938543
BaseRepresentation
bin111101011101010…
…1011111100000000
312022201101211222211
41322322223330000
513210411022142
6540344111504
7102050310343
oct17272537400
95281354884
102062204672
11969073990
12496765594
1326b316968
14157c4c45a
15c109d917
hex7aeabf00

2062204672 has 72 divisors (see below), whose sum is σ = 4727036160. Its totient is φ = 888007680.

The previous prime is 2062204631. The next prime is 2062204699. The reversal of 2062204672 is 2764022602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34233 + ... + 72775.

It is an arithmetic number, because the mean of its divisors is an integer number (65653280).

Almost surely, 22062204672 is an apocalyptic number.

2062204672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2062204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363518080).

2062204672 is an abundant number, since it is smaller than the sum of its proper divisors (2664831488).

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

2062204672 is a wasteful number, since it uses less digits than its factorization.

2062204672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38589 (or 38575 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2062204672 is about 45411.5037407924. The cubic root of 2062204672 is about 1272.8500837631.

The spelling of 2062204672 in words is "two billion, sixty-two million, two hundred four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 608 704 836 1216 1408 1672 2432 2816 3344 4864 6688 13376 26752 38543 53504 77086 154172 308344 423973 616688 732317 847946 1233376 1464634 1695892 2466752 2929268 3391784 4933504 5858536 6783568 8055487 9867008 11717072 13567136 16110974 23434144 27134272 32221948 46868288 54268544 64443896 93736576 108537088 128887792 187473152 257775584 515551168 1031102336 2062204672