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102642657204 = 223194188712379
BaseRepresentation
bin101111110010111111…
…0101010011110110100
3100210221100021020102110
41133211332222132310
53140203010012304
6115053044211020
710262403122313
oct1374576523664
9323840236373
10102642657204
113a59211661a
1217a86999a70
1398aa169829
144d7a00827a
152a0b244289
hex17e5faa7b4

102642657204 has 96 divisors (see below), whose sum is σ = 258565708800. Its totient is φ = 31584695040.

The previous prime is 102642657203. The next prime is 102642657269. The reversal of 102642657204 is 402756246201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102642657203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8285487 + ... + 8297865.

It is an arithmetic number, because the mean of its divisors is an integer number (2693392800).

Almost surely, 2102642657204 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 102642657204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129282854400).

102642657204 is an abundant number, since it is smaller than the sum of its proper divisors (155923051596).

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

102642657204 is a wasteful number, since it uses less digits than its factorization.

102642657204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13333 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 102642657204 in words is "one hundred two billion, six hundred forty-two million, six hundred fifty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 887 1558 1774 2337 2661 3116 3548 4674 5322 9348 10644 12379 16853 24758 33706 36367 37137 49516 50559 67412 72734 74274 101118 109101 145468 148548 202236 218202 235201 436404 470402 507539 690973 705603 940804 1015078 1381946 1411206 1522617 2030156 2072919 2763892 2822412 3045234 4145838 6090468 8291676 9643241 10980173 19286482 21960346 28929723 32940519 38572964 43920692 57859446 65881038 115718892 131762076 208623287 417246574 450187093 625869861 834493148 900374186 1251739722 1350561279 1800748372 2503479444 2701122558 5402245116 8553554767 17107109534 25660664301 34214219068 51321328602 102642657204