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11859304153872 = 2437311497641383
BaseRepresentation
bin1010110010010011010110…
…0111001000001100010000
31112222201221022000120121110
42230210311213020030100
53023300323330410442
641120031125453320
72332543420032210
oct254446547101420
945881838016543
1011859304153872
11386255902921a
1213b64b4b71240
13680434914126
142cddc9bb8240
1515874b09c69c
hexac9359c8310

11859304153872 has 160 divisors (see below), whose sum is σ = 36385214054400. Its totient is φ = 3257062663680.

The previous prime is 11859304153871. The next prime is 11859304153877. The reversal of 11859304153872 is 27835140395811.

It is not an unprimeable number, because it can be changed into a prime (11859304153871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268708 + ... + 5372675.

It is an arithmetic number, because the mean of its divisors is an integer number (227407587840).

Almost surely, 211859304153872 is an apocalyptic number.

11859304153872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11859304153872 is an abundant number, since it is smaller than the sum of its proper divisors (24525909900528).

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

11859304153872 is a wasteful number, since it uses less digits than its factorization.

11859304153872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7641581 (or 7641575 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 11859304153872 in words is "eleven trillion, eight hundred fifty-nine billion, three hundred four million, one hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 149 168 186 217 248 298 336 372 434 447 496 596 651 744 868 894 1043 1192 1302 1488 1736 1788 2086 2384 2604 3129 3472 3576 4172 4619 5208 6258 7152 8344 9238 10416 12516 13857 16688 18476 25032 27714 32333 36952 50064 55428 64666 73904 96999 110856 129332 193998 221712 258664 387996 517328 775992 1551984 7641383 15282766 22924149 30565532 45848298 53489681 61131064 91696596 106979362 122262128 160469043 183393192 213958724 236882873 320938086 366786384 427917448 473765746 641876172 710648619 855834896 947531492 1138566067 1283752344 1421297238 1658180111 1895062984 2277132134 2567504688 2842594476 3316360222 3415698201 3790125968 4554264268 4974540333 5685188952 6632720444 6831396402 7969962469 9108528536 9949080666 11370377904 13265440888 13662792804 15939924938 18217057072 19898161332 23909887407 26530881776 27325585608 31879849876 35295548077 39796322664 47819774814 54651171216 63759699752 70591096154 79592645328 95639549628 105886644231 127519399504 141182192308 191279099256 211773288462 247068836539 282364384616 382558198512 423546576924 494137673078 564728769232 741206509617 847093153848 988275346156 1482413019234 1694186307696 1976550692312 2964826038468 3953101384624 5929652076936 11859304153872