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103380732576864 = 25321941945089923
BaseRepresentation
bin10111100000011000110011…
…110101111000010001100000
3111120001002202000002200000100
4113200120303311320101200
5102022242220014424424
61003512241454422400
730530003632665141
oct2740306365702140
9446032660080010
10103380732576864
112aa38582456056
12b717a66201a00
13458b9b8613792
141b75922dddac8
15be428414adc9
hex5e0633d78460

103380732576864 has 144 divisors (see below), whose sum is σ = 310200641150400. Its totient is φ = 32568631020288.

The previous prime is 103380732576851. The next prime is 103380732576929. The reversal of 103380732576864 is 468675237083301.

103380732576864 is a `hidden beast` number, since 103 + 3 + 80 + 7 + 325 + 76 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20252194 + ... + 24837729.

It is an arithmetic number, because the mean of its divisors is an integer number (2154171119100).

Almost surely, 2103380732576864 is an apocalyptic number.

It is an amenable number.

103380732576864 is an abundant number, since it is smaller than the sum of its proper divisors (206819908573536).

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

103380732576864 is a wasteful number, since it uses less digits than its factorization.

103380732576864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45090377 (or 45090366 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 103380732576864 in words is "one hundred three trillion, three hundred eighty billion, seven hundred thirty-two million, five hundred seventy-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 419 456 608 684 838 912 1257 1368 1676 1824 2514 2736 3352 3771 5028 5472 6704 7542 7961 10056 13408 15084 15922 20112 23883 30168 31844 40224 47766 60336 63688 71649 95532 120672 127376 143298 191064 254752 286596 382128 573192 764256 1146384 2292768 45089923 90179846 135269769 180359692 270539538 360719384 405809307 541079076 721438768 811618614 856708537 1082158152 1442877536 1623237228 1713417074 2164316304 2570125611 3246474456 3426834148 4328632608 5140251222 6492948912 6853668296 7710376833 10280502444 12985897824 13707336592 15420753666 18892677737 20561004888 27414673184 30841507332 37785355474 41122009776 56678033211 61683014664 75570710948 82244019552 113356066422 123366029328 151141421896 170034099633 226712132844 246732058656 302282843792 340068199266 358960877003 453424265688 604565687584 680136398532 717921754006 906848531376 1076882631009 1360272797064 1435843508012 1813697062752 2153765262018 2720545594128 2871687016024 3230647893027 4307530524036 5441091188256 5743374032048 6461295786054 8615061048072 11486748064096 12922591572108 17230122096144 25845183144216 34460244192288 51690366288432 103380732576864