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6713508096 = 28345692
BaseRepresentation
bin1100100000010100…
…00000000100000000
3122022212122112210000
412100022000010000
5102222124224341
63030101440000
7325236606621
oct62012000400
918285575700
106713508096
112935666aa9
121374410000
1382cb576c9
144798a1a48
152945c78b6
hex190280100

6713508096 has 135 divisors (see below), whose sum is σ = 20053710061. Its totient is φ = 2233903104.

The previous prime is 6713508083. The next prime is 6713508101. The reversal of 6713508096 is 6908053176.

It is a happy number.

The square root of 6713508096 is 81936.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1106493696 + 5607014400 = 33264^2 + 74880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11798500 + ... + 11799068.

Almost surely, 26713508096 is an apocalyptic number.

6713508096 is the 81936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6713508096

6713508096 is an abundant number, since it is smaller than the sum of its proper divisors (13340201965).

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

6713508096 is an frugal number, since it uses more digits than its factorization.

6713508096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 6713508096 is about 1886.4697214096.

The spelling of 6713508096 in words is "six billion, seven hundred thirteen million, five hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 569 576 648 768 864 1138 1152 1296 1707 1728 2276 2304 2592 3414 3456 4552 5121 5184 6828 6912 9104 10242 10368 13656 15363 18208 20484 20736 27312 30726 36416 40968 46089 54624 61452 72832 81936 92178 109248 122904 145664 163872 184356 218496 245808 323761 327744 368712 436992 491616 647522 655488 737424 971283 983232 1295044 1310976 1474848 1942566 1966464 2590088 2913849 2949696 3885132 3932928 5180176 5827698 5899392 7770264 8741547 10360352 11655396 11798784 15540528 17483094 20720704 23310792 26224641 31081056 34966188 41441408 46621584 52449282 62162112 69932376 82882816 93243168 104898564 124324224 139864752 186486336 209797128 248648448 279729504 372972672 419594256 559459008 745945344 839188512 1118918016 1678377024 2237836032 3356754048 6713508096