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102461040253024 = 25231276731628779
BaseRepresentation
bin10111010011000000010001…
…111010000101100001100000
3111102210011212001201212212121
4113103000101322011201200
5101412210202301044044
61001525541352234024
730403365044140555
oct2723002172054140
9442704761655777
10102461040253024
112a713535083962
12b5a977709b914
13452305b13775b
141b431d8542a2c
15bca3a7dcb984
hex5d3011e85860

102461040253024 has 96 divisors (see below), whose sum is σ = 212463379537920. Its totient is φ = 48544985567232.

The previous prime is 102461040252997. The next prime is 102461040253037. The reversal of 102461040253024 is 420352040164201.

It is a super-2 number, since 2×1024610402530242 (a number of 29 digits) contains 22 as substring.

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, 62092267 + ... + 63721045.

It is an arithmetic number, because the mean of its divisors is an integer number (2213160203520).

Almost surely, 2102461040253024 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 102461040253024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106231689768960).

102461040253024 is an abundant number, since it is smaller than the sum of its proper divisors (110002339284896).

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

102461040253024 is a wasteful number, since it uses less digits than its factorization.

102461040253024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629612 (or 1629604 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 102461040253024 in words is "one hundred two trillion, four hundred sixty-one billion, forty million, two hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 92 127 184 254 368 508 673 736 1016 1346 2032 2692 2921 4064 5384 5842 10768 11684 15479 21536 23368 30958 46736 61916 85471 93472 123832 170942 247664 341884 495328 683768 1367536 1628779 1965833 2735072 3257558 3931666 6515116 7863332 13030232 15726664 26060464 31453328 37461917 52120928 62906656 74923834 149847668 206854933 299695336 413709866 599390672 827419732 1096168267 1198781344 1654839464 2192336534 3309678928 4384673068 4757663459 6619357856 8769346136 9515326918 17538692272 19030653836 25211870141 35077384544 38061307672 50423740282 76122615344 100847480564 139213369909 152245230688 201694961128 278426739818 403389922256 556853479636 806779844512 1113706959272 2227413918544 3201907507907 4454827837088 6403815015814 12807630031628 25615260063256 51230520126512 102461040253024