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87873047357472 = 2534132607818357
BaseRepresentation
bin10011111110101110001001…
…110001011110100000100000
3102112010120200202102222110000
4103332232021301132200200
543004203000110414342
6510520153132540000
724336422013355416
oct2376561161364040
9375116622388400
1087873047357472
1125aa9828429aa3
129a32475921600
133a05515007750
14179b11477b2b6
15a25ba633644c
hex4feb89c5e820

87873047357472 has 120 divisors (see below), whose sum is σ = 278311590802476. Its totient is φ = 27037860715008.

The previous prime is 87873047357443. The next prime is 87873047357477. The reversal of 87873047357472 is 27475374037878.

87873047357472 is a `hidden beast` number, since 8 + 7 + 8 + 7 + 3 + 0 + 47 + 3 + 574 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85713452520336 + 2159594837136 = 9258156^2 + 1469556^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 87873047357472.

It is not an unprimeable number, because it can be changed into a prime (87873047357477) 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 19 ways as a sum of consecutive naturals, for example, 1303875483 + ... + 1303942874.

Almost surely, 287873047357472 is an apocalyptic number.

It is an amenable number.

87873047357472 is an abundant number, since it is smaller than the sum of its proper divisors (190438543445004).

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

87873047357472 is a wasteful number, since it uses less digits than its factorization.

87873047357472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607818392 (or 2607818375 counting only the distinct ones).

The product of its (nonzero) digits is 1548933120, while the sum is 72.

The spelling of 87873047357472 in words is "eighty-seven trillion, eight hundred seventy-three billion, forty-seven million, three hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 2607818357 5215636714 7823455071 10431273428 15646910142 20862546856 23470365213 31293820284 33901638641 41725093712 46940730426 62587640568 67803277282 70411095639 83450187424 93881460852 101704915923 125175281136 135606554564 140822191278 187762921704 203409831846 211233286917 250350562272 271213109128 281644382556 305114747769 375525843408 406819663692 422466573834 542426218256 563288765112 610229495538 751051686816 813639327384 844933147668 915344243307 1084852436512 1126577530224 1220458991076 1627278654768 1689866295336 1830688486614 2253155060448 2440917982152 2746032729921 3254557309536 3379732590672 3661376973228 4881835964304 5492065459842 6759465181344 7322753946456 9763671928608 10984130919684 14645507892912 21968261839368 29291015785824 43936523678736 87873047357472