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102492355840 = 285714976771
BaseRepresentation
bin101111101110100000…
…1010011110100000000
3100210112212110010201021
41133131001103310000
53134401020341330
6115030114515224
710255566436030
oct1373501236400
9323485403637
10102492355840
113a515298a16
1217a44595b14
139884c93704
144d640818c0
1529ece5567a
hex17dd053d00

102492355840 has 144 divisors (see below), whose sum is σ = 282459542400. Its totient is φ = 34903941120.

The previous prime is 102492355831. The next prime is 102492355841. The reversal of 102492355840 is 48553294201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102492355841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296655 + ... + 1373425.

It is an arithmetic number, because the mean of its divisors is an integer number (1961524600).

Almost surely, 2102492355840 is an apocalyptic number.

102492355840 is a gapful number since it is divisible by the number (10) 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 102492355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141229771200).

102492355840 is an abundant number, since it is smaller than the sum of its proper divisors (179967186560).

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

102492355840 is an equidigital number, since it uses as much as digits as its factorization.

102492355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76948 (or 76934 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 102492355840 in words is "one hundred two billion, four hundred ninety-two million, three hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 149 160 224 256 280 298 320 448 560 596 640 745 896 1043 1120 1192 1280 1490 1792 2086 2240 2384 2980 4172 4480 4768 5215 5960 8344 8960 9536 10430 11920 16688 19072 20860 23840 33376 38144 41720 47680 66752 76771 83440 95360 133504 153542 166880 190720 267008 307084 333760 383855 537397 614168 667520 767710 1074794 1228336 1335040 1535420 2149588 2456672 2686985 3070840 4299176 4913344 5373970 6141680 8598352 9826688 10747940 11438879 12283360 17196704 19653376 21495880 22877758 24566720 34393408 42991760 45755516 49133440 57194395 68786816 80072153 85983520 91511032 98266880 114388790 137573632 160144306 171967040 183022064 228777580 320288612 343934080 366044128 400360765 457555160 640577224 687868160 732088256 800721530 915110320 1281154448 1464176512 1601443060 1830220640 2562308896 2928353024 3202886120 3660441280 5124617792 6405772240 7320882560 10249235584 12811544480 14641765120 20498471168 25623088960 51246177920 102492355840