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13056373621530 = 2335312601759957
BaseRepresentation
bin1011110111111110110010…
…0000110000001100011010
31201020011210010102012222000
42331333230200300030122
53202403423121342110
643434003142541430
72515202052441201
oct275775440601432
951204703365860
1013056373621530
1141841a4591a58
12156a4b5137876
1373929802aa15
14331d09020238
1517995d8671c0
hexbdfec83031a

13056373621530 has 128 divisors (see below), whose sum is σ = 35942106101760. Its totient is φ = 3369201039360.

The previous prime is 13056373621493. The next prime is 13056373621547. The reversal of 13056373621530 is 3512637365031.

13056373621530 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 63 + 7 + 36 + 21 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 217732312 + ... + 217792268.

It is an arithmetic number, because the mean of its divisors is an integer number (280797703920).

Almost surely, 213056373621530 is an apocalyptic number.

13056373621530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13056373621530 is an abundant number, since it is smaller than the sum of its proper divisors (22885732480230).

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

13056373621530 is a wasteful number, since it uses less digits than its factorization.

13056373621530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86021 (or 86015 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 13056373621530 in words is "thirteen trillion, fifty-six billion, three hundred seventy-three million, six hundred twenty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8370 26017 52034 59957 78051 119914 130085 156102 179871 234153 260170 299785 359742 390255 468306 539613 599570 702459 780510 806527 899355 1079226 1170765 1404918 1613054 1618839 1798710 1858667 2341530 2419581 2698065 3237678 3512295 3717334 4032635 4839162 5396130 5576001 7024590 7258743 8065270 8094195 9293335 11152002 12097905 14517486 16188390 16728003 18586670 21776229 24195810 27880005 33456006 36293715 43552458 50184009 55760010 72587430 83640015 100368018 108881145 167280030 217762290 250920045 501840090 1559901269 3119802538 4679703807 7799506345 9359407614 14039111421 15599012690 23398519035 28078222842 42117334263 46797038070 48356939339 70195557105 84234668526 96713878678 140391114210 145070818017 210586671315 241784696695 290141636034 421173342630 435212454051 483569393390 725354090085 870424908102 1305637362153 1450708180170 2176062270255 2611274724306 4352124540510 6528186810765 13056373621530