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53374765713104 = 241121131873130261
BaseRepresentation
bin11000010001011010001111…
…11100110100011011010000
320222222120121012020022120102
430020231013330310123100
523443443010010304404
6305304010122431532
714146125310605533
oct1410550774643320
9228876535208512
1053374765713104
1116009124849a00
125ba04790625a8
1323a22ac9573b4
14d274d1170a1a
1562860074b71e
hex308b47f346d0

53374765713104 has 120 divisors (see below), whose sum is σ = 114737534801736. Its totient is φ = 24033532723200.

The previous prime is 53374765713103. The next prime is 53374765713193. The reversal of 53374765713104 is 40131756747335.

It can be written as a sum of positive squares in 4 ways, for example, as 1187838414400 + 52186927298704 = 1089880^2 + 7224052^2 .

It is a super-2 number, since 2×533747657131042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53374765713104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53374765713103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409687334 + ... + 409817594.

Almost surely, 253374765713104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53374765713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57368767400868).

53374765713104 is an abundant number, since it is smaller than the sum of its proper divisors (61362769088632).

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

53374765713104 is a wasteful number, since it uses less digits than its factorization.

53374765713104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132277 (or 132260 counting only the distinct ones).

The product of its (nonzero) digits is 22226400, while the sum is 56.

The spelling of 53374765713104 in words is "fifty-three trillion, three hundred seventy-four billion, seven hundred sixty-five million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 113 121 176 226 242 452 484 904 968 1243 1808 1873 1936 2486 3746 4972 7492 9944 13673 14984 19888 20603 27346 29968 41206 54692 82412 109384 130261 164824 211649 218768 226633 260522 329648 423298 453266 521044 846596 906532 1042088 1432871 1693192 1813064 2084176 2328139 2865742 3386384 3626128 4656278 5731484 9312556 11462968 14719493 15761581 18625112 22925936 25609529 29438986 31523162 37250224 51219058 58877972 63046324 102438116 117755944 126092648 161914423 204876232 235511888 243978853 252185296 323828846 409752464 487957706 647657692 975915412 1295315384 1781058653 1951830824 2590630768 2683767383 3562117306 3903661648 5367534766 7124234612 10735069532 14248469224 21470139064 27569610389 28496938448 29521441213 42940278128 55139220778 59042882426 110278441556 118085764852 220556883112 236171529704 303265714279 441113766224 472343059408 606531428558 1213062857116 2426125714232 3335922857069 4852251428464 6671845714138 13343691428276 26687382856552 53374765713104