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56105632553520 = 24351193722681039
BaseRepresentation
bin11001100000111000111000…
…10011000101101000110000
321100122122102222222112011010
430300130130103011220300
524323213313413203040
6315154323300350520
714550332610006534
oct1460343423055060
9240578388875133
1056105632553520
11169712a09a6450
1263617929a5440
13253c97a4a6cc4
14dbd754537bc4
15674682586e80
hex33071c4c5a30

56105632553520 has 160 divisors (see below), whose sum is σ = 189941552962560. Its totient is φ = 13586849003520.

The previous prime is 56105632553491. The next prime is 56105632553557. The reversal of 56105632553520 is 2535523650165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56105632553520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8866840 + ... + 13814199.

It is an arithmetic number, because the mean of its divisors is an integer number (1187134706016).

Almost surely, 256105632553520 is an apocalyptic number.

It is an amenable number.

56105632553520 is an abundant number, since it is smaller than the sum of its proper divisors (133835920409040).

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

56105632553520 is a wasteful number, since it uses less digits than its factorization.

56105632553520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22682003 (or 22681997 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 56105632553520 in words is "fifty-six trillion, one hundred five billion, six hundred thirty-two million, five hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 937 1320 1874 2640 2811 3748 4685 5622 7496 9370 10307 11244 14055 14992 18740 20614 22488 28110 30921 37480 41228 44976 51535 56220 61842 74960 82456 103070 112440 123684 154605 164912 206140 224880 247368 309210 412280 494736 618420 824560 1236840 2473680 22681039 45362078 68043117 90724156 113405195 136086234 181448312 226810390 249491429 272172468 340215585 362896624 453620780 498982858 544344936 680431170 748474287 907241560 997965716 1088689872 1247457145 1360862340 1496948574 1814483120 1995931432 2494914290 2721724680 2993897148 3742371435 3991862864 4989828580 5443449360 5987794296 7484742870 9979657160 11975588592 14969485740 19959314320 21252133543 29938971480 42504267086 59877942960 63756400629 85008534172 106260667715 127512801258 170017068344 212521335430 233773468973 255025602516 318782003145 340034136688 425042670860 467546937946 510051205032 637564006290 701320406919 850085341720 935093875892 1020102410064 1168867344865 1275128012580 1402640813838 1700170683440 1870187751784 2337734689730 2550256025160 2805281627676 3506602034595 3740375503568 4675469379460 5100512050320 5610563255352 7013204069190 9350938758920 11221126510704 14026408138380 18701877517840 28052816276760 56105632553520