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102612958608 = 243194117915331
BaseRepresentation
bin101111110010000110…
…1010111110110010000
3100210212021101101121110
41133210031113312100
53140122404133413
6115050103453320
710261562520426
oct1374415276620
9323767341543
10102612958608
113a577381626
1217a78a57240
1398a3c6bab4
144d760b7116
152a088298c3
hex17e4357d90

102612958608 has 160 divisors (see below), whose sum is σ = 287456601600. Its totient is φ = 31435084800.

The previous prime is 102612958571. The next prime is 102612958631. The reversal of 102612958608 is 806859216201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6685503 + ... + 6700833.

It is an arithmetic number, because the mean of its divisors is an integer number (1796603760).

Almost surely, 2102612958608 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 102612958608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143728300800).

102612958608 is an abundant number, since it is smaller than the sum of its proper divisors (184843642992).

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

102612958608 is a wasteful number, since it uses less digits than its factorization.

102612958608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15581 (or 15575 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 102612958608 in words is "one hundred two billion, six hundred twelve million, nine hundred fifty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 76 82 114 123 152 164 179 228 246 304 328 358 456 492 537 656 716 779 912 984 1074 1432 1558 1968 2148 2337 2864 3116 3401 4296 4674 6232 6802 7339 8592 9348 10203 12464 13604 14678 15331 18696 20406 22017 27208 29356 30662 37392 40812 44034 45993 54416 58712 61324 81624 88068 91986 117424 122648 139441 163248 176136 183972 245296 278882 291289 352272 367944 418323 557764 582578 628571 735888 836646 873867 1115528 1165156 1257142 1673292 1747734 1885713 2231056 2330312 2514284 2744249 3346584 3495468 3771426 4660624 5028568 5488498 6693168 6990936 7542852 8232747 10057136 10976996 11942849 13981872 15085704 16465494 21953992 23885698 30171408 32930988 35828547 43907984 47771396 52140731 65861976 71657094 95542792 104281462 112514209 131723952 143314188 156422193 191085584 208562924 225028418 286628376 312844386 337542627 417125848 450056836 573256752 625688772 675085254 834251696 900113672 1251377544 1350170508 1800227344 2137769971 2502755088 2700341016 4275539942 5400682032 6413309913 8551079884 12826619826 17102159768 25653239652 34204319536 51306479304 102612958608