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102098779008 = 2732958715619
BaseRepresentation
bin101111100010110001…
…1111011101110000000
3100202112102212100210120
41133011203323232000
53133044241412013
6114523055100240
710243050205512
oct1370543735600
9322472770716
10102098779008
113a33310a906
1217954811680
139821590905
144d27aadbb2
1529c8610123
hex17c58fbb80

102098779008 has 128 divisors (see below), whose sum is σ = 281047536000. Its totient is φ = 32801298432.

The previous prime is 102098778989. The next prime is 102098779067. The reversal of 102098779008 is 800977890201.

102098779008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6529023 + ... + 6544641.

It is an arithmetic number, because the mean of its divisors is an integer number (2195683875).

Almost surely, 2102098779008 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 102098779008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140523768000).

102098779008 is an abundant number, since it is smaller than the sum of its proper divisors (178948756992).

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

102098779008 is a wasteful number, since it uses less digits than its factorization.

102098779008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16252 (or 16240 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 51.

The spelling of 102098779008 in words is "one hundred two billion, ninety-eight million, seven hundred seventy-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 587 696 928 1174 1392 1761 1856 2348 2784 3522 3712 4696 5568 7044 9392 11136 14088 15619 17023 18784 28176 31238 34046 37568 46857 51069 56352 62476 68092 75136 93714 102138 112704 124952 136184 187428 204276 225408 249904 272368 374856 408552 452951 499808 544736 749712 817104 905902 999616 1089472 1358853 1499424 1634208 1811804 1999232 2178944 2717706 2998848 3268416 3623608 5435412 5997696 6536832 7247216 9168353 10870824 14494432 18336706 21741648 27505059 28988864 36673412 43483296 55010118 57977728 73346824 86966592 110020236 146693648 173933184 220040472 265882237 293387296 440080944 531764474 586774592 797646711 880161888 1063528948 1173549184 1595293422 1760323776 2127057896 3190586844 3520647552 4254115792 6381173688 8508231584 12762347376 17016463168 25524694752 34032926336 51049389504 102098779008