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102384804852 = 223211279297523
BaseRepresentation
bin101111101011010011…
…1000010001111110100
3100210021101001222111100
41133112213002033310
53134141002223402
6115011313410100
710253122324221
oct1372647021764
9323241058440
10102384804852
113a46a60a300
1217a14569930
139868907c85
144d53a86948
1529e37ad71c
hex17d69c23f4

102384804852 has 108 divisors (see below), whose sum is σ = 288074637760. Its totient is φ = 30632865120.

The previous prime is 102384804833. The next prime is 102384804913. The reversal of 102384804852 is 258408483201.

102384804852 is a `hidden beast` number, since 10 + 2 + 3 + 84 + 80 + 485 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102384804798 and 102384804807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 195363 + ... + 492885.

Almost surely, 2102384804852 is an apocalyptic number.

102384804852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102384804852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144037318880).

102384804852 is an abundant number, since it is smaller than the sum of its proper divisors (185689832908).

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

102384804852 is a wasteful number, since it uses less digits than its factorization.

102384804852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297634 (or 297618 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 102384804852 in words is "one hundred two billion, three hundred eighty-four million, eight hundred four thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 121 132 158 198 237 242 316 363 396 474 484 711 726 869 948 1089 1422 1452 1738 2178 2607 2844 3476 4356 5214 7821 9559 10428 15642 19118 28677 31284 38236 57354 86031 114708 172062 297523 344124 595046 892569 1190092 1785138 2677707 3272753 3570276 5355414 6545506 9818259 10710828 13091012 19636518 23504317 29454777 36000283 39273036 47008634 58909554 70512951 72000566 94017268 108000849 117819108 141025902 144001132 211538853 216001698 258547487 282051804 324002547 423077706 432003396 517094974 648005094 775642461 846155412 1034189948 1296010188 1551284922 2326927383 2844022357 3102569844 4653854766 5688044714 8532067071 9307709532 11376089428 17064134142 25596201213 34128268284 51192402426 102384804852