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102902748676 = 227132293472161
BaseRepresentation
bin101111111010101111…
…0110101011000000100
3100211121110200020211221
41133311132311120010
53141221100424201
6115134535010124
710302011634430
oct1376536653004
9324543606757
10102902748676
113a705a12152
1217b39b09944
13991c003600
144da278d9c0
152a23ebd4a1
hex17f57b5604

102902748676 has 144 divisors (see below), whose sum is σ = 231310477440. Its totient is φ = 39173621760.

The previous prime is 102902748629. The next prime is 102902748677. The reversal of 102902748676 is 676847209201.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (102902748677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47617036 + ... + 47619196.

It is an arithmetic number, because the mean of its divisors is an integer number (1606322760).

Almost surely, 2102902748676 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 102902748676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115655238720).

102902748676 is an abundant number, since it is smaller than the sum of its proper divisors (128407728764).

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

102902748676 is a wasteful number, since it uses less digits than its factorization.

102902748676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 102902748676 in words is "one hundred two billion, nine hundred two million, seven hundred forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 169 182 203 338 347 364 377 406 676 694 754 812 1183 1388 1508 2161 2366 2429 2639 4322 4511 4732 4858 4901 5278 8644 9022 9716 9802 10063 10556 15127 18044 19604 20126 28093 30254 31577 34307 40252 56186 58643 60508 62669 63154 68614 70441 112372 117286 125338 126308 130819 137228 140882 196651 234572 250676 261638 281764 365209 393302 410501 438683 523276 730418 749867 786604 814697 821002 877366 915733 1460836 1499734 1629394 1642004 1700647 1754732 1831466 2556463 2999468 3258788 3401294 3662932 5112926 5249069 5702879 6802588 9748271 10225852 10498138 10591061 11405758 11904529 19496542 20996276 21182122 21746143 22811516 23809058 38993084 42364244 43492286 47618116 68237897 74137427 86984572 126727523 136475794 148274854 152223001 253455046 272951588 282699859 296549708 304446002 506910092 565399718 608892004 887092661 1130799436 1774185322 1978899013 3548370644 3675098167 3957798026 7350196334 7915596052 14700392668 25725687169 51451374338 102902748676