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102597179944 = 237171953107021
BaseRepresentation
bin101111110001101000…
…1001011101000101000
3100210211011200202100111
41133203101023220220
53140104334224234
6115044341344104
710261311432460
oct1374321135050
9323734622314
10102597179944
113a569484906
1217a73708034
1398a0905bcc
144d73d6aba0
152a0725e664
hex17e344ba28

102597179944 has 128 divisors (see below), whose sum is σ = 249660921600. Its totient is φ = 38465556480.

The previous prime is 102597179921. The next prime is 102597179977. The reversal of 102597179944 is 449971795201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905154 + ... + 1012174.

It is an arithmetic number, because the mean of its divisors is an integer number (1950475950).

Almost surely, 2102597179944 is an apocalyptic number.

102597179944 is a gapful number since it is divisible by the number (14) 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 102597179944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124830460800).

102597179944 is an abundant number, since it is smaller than the sum of its proper divisors (147063741656).

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

102597179944 is a wasteful number, since it uses less digits than its factorization.

102597179944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107123 (or 107119 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 58.

The spelling of 102597179944 in words is "one hundred two billion, five hundred ninety-seven million, one hundred seventy-nine thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 53 56 68 76 106 119 133 136 152 212 238 266 323 371 424 476 532 646 742 901 952 1007 1064 1292 1484 1802 2014 2261 2584 2968 3604 4028 4522 6307 7049 7208 8056 9044 12614 14098 17119 18088 25228 28196 34238 50456 56392 68476 107021 119833 136952 214042 239666 428084 479332 749147 856168 958664 1498294 1819357 2033399 2996588 3638714 4066798 5672113 5993176 7277428 8133596 11344226 12735499 14233793 14554856 16267192 22688452 25470998 28467586 34567783 39704791 45376904 50941996 56935172 69135566 79409582 96425921 101883992 107770147 113870344 138271132 158819164 192851842 215540294 241974481 276542264 317638328 385703684 431080588 483948962 674981447 754391029 771407368 862161176 967897924 1349962894 1508782058 1832092499 1935795848 2699925788 3017564116 3664184998 5399851576 6035128232 7328369996 12824647493 14656739992 25649294986 51298589972 102597179944