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102498196392 = 2334318957331
BaseRepresentation
bin101111101110101011…
…1100101101110101000
3100210120021102212110000
41133131113211232220
53134404014241032
6115030444023000
710256000202624
oct1373527455650
9323507385400
10102498196392
113a518618019
1217a46531a60
139886259c67
144d64b62184
1529ed70ae7c
hex17dd5e5ba8

102498196392 has 160 divisors (see below), whose sum is σ = 299685830400. Its totient is φ = 32691859200.

The previous prime is 102498196363. The next prime is 102498196397. The reversal of 102498196392 is 293691894201.

102498196392 is a `hidden beast` number, since 1 + 0 + 2 + 498 + 1 + 9 + 63 + 92 = 666.

It is a super-2 number, since 2×1024981963922 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102498196397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1759167 + ... + 1816497.

It is an arithmetic number, because the mean of its divisors is an integer number (1873036440).

Almost surely, 2102498196392 is an apocalyptic number.

102498196392 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 102498196392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149842915200).

102498196392 is an abundant number, since it is smaller than the sum of its proper divisors (197187634008).

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

102498196392 is a wasteful number, since it uses less digits than its factorization.

102498196392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57469 (or 57456 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 102498196392 in words is "one hundred two billion, four hundred ninety-eight million, one hundred ninety-six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 89 93 108 124 162 178 186 216 248 267 279 324 356 372 534 558 648 712 744 801 837 1068 1116 1602 1674 2136 2232 2403 2511 2759 3204 3348 4806 5022 5518 6408 6696 7209 8277 9612 10044 11036 14418 16554 19224 20088 22072 24831 28836 33108 49662 57331 57672 66216 74493 99324 114662 148986 171993 198648 223479 229324 297972 343986 446958 458648 515979 595944 687972 893916 1031958 1375944 1547937 1777261 1787832 2063916 3095874 3554522 4127832 4643811 5102459 5331783 6191748 7109044 9287622 10204918 10663566 12383496 14218088 15307377 15995349 18575244 20409836 21327132 30614754 31990698 37150488 40819672 42654264 45922131 47986047 61229508 63981396 91844262 95972094 122459016 127962792 137766393 143958141 158176229 183688524 191944188 275532786 287916282 316352458 367377048 383888376 413299179 474528687 551065572 575832564 632704916 826598358 949057374 1102131144 1151665128 1265409832 1423586061 1653196716 1898114748 2847172122 3306393432 3796229496 4270758183 5694344244 8541516366 11388688488 12812274549 17083032732 25624549098 34166065464 51249098196 102498196392