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96560604672 = 293719472669
BaseRepresentation
bin101100111101101110…
…1011110011000000000
3100020020110210221211120
41121323131132120000
53040224003322142
6112205340512240
76655601411610
oct1317335363000
9306213727746
1096560604672
1137a50a42524
1216869b4b680
13914b0a238c
14496035aa40
1527a22ee7ec
hex167b75e600

96560604672 has 160 divisors (see below), whose sum is σ = 309466502400. Its totient is φ = 26136649728.

The previous prime is 96560604649. The next prime is 96560604677. The reversal of 96560604672 is 27640606569.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96560604677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32047 + ... + 440622.

It is an arithmetic number, because the mean of its divisors is an integer number (1934165640).

Almost surely, 296560604672 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 96560604672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154733251200).

96560604672 is an abundant number, since it is smaller than the sum of its proper divisors (212905897728).

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

96560604672 is a wasteful number, since it uses less digits than its factorization.

96560604672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472716 (or 472700 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 96560604672 in words is "ninety-six billion, five hundred sixty million, six hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 512 532 608 672 768 798 896 912 1064 1216 1344 1536 1596 1792 1824 2128 2432 2688 3192 3584 3648 4256 4864 5376 6384 7296 8512 9728 10752 12768 14592 17024 25536 29184 34048 51072 68096 102144 204288 472669 945338 1418007 1890676 2836014 3308683 3781352 5672028 6617366 7562704 8980711 9926049 11344056 13234732 15125408 17961422 19852098 22688112 26469464 26942133 30250816 35922844 39704196 45376224 52938928 53884266 60501632 62864977 71845688 79408392 90752448 105877856 107768532 121003264 125729954 143691376 158816784 181504896 188594931 211755712 215537064 242006528 251459908 287382752 317633568 363009792 377189862 423511424 431074128 502919816 574765504 635267136 726019584 754379724 847022848 862148256 1005839632 1149531008 1270534272 1508759448 1694045696 1724296512 2011679264 2299062016 2541068544 3017518896 3448593024 4023358528 4598124032 5082137088 6035037792 6897186048 8046717056 12070075584 13794372096 16093434112 24140151168 32186868224 48280302336 96560604672