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131744805632553 = 3294434034384731
BaseRepresentation
bin11101111101001000111010…
…010101110011101000101001
3122021110200101000122002001010
4131331020322111303220221
5114232001330220220203
61144110421142014133
736515151045654411
oct3575107225635051
9567420330562033
10131744805632553
1138a83727221703
1212939038a17349
135868635867469
1424766a8421641
151036eb8710303
hex77d23a573a29

131744805632553 has 32 divisors (see below), whose sum is σ = 182133833610240. Its totient is φ = 84606733440320.

The previous prime is 131744805632527. The next prime is 131744805632567. The reversal of 131744805632553 is 355236508447131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131744805632553 is a prime.

It is a super-2 number, since 2×1317448056325532 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131744805632493 and 131744805632502.

It is not an unprimeable number, because it can be changed into a prime (131744805632053) 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, 1554817198 + ... + 1554901928.

It is an arithmetic number, because the mean of its divisors is an integer number (5691682300320).

Almost surely, 2131744805632553 is an apocalyptic number.

It is an amenable number.

131744805632553 is a deficient number, since it is larger than the sum of its proper divisors (50389027977687).

131744805632553 is a wasteful number, since it uses less digits than its factorization.

131744805632553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125549.

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 131744805632553 in words is "one hundred thirty-one trillion, seven hundred forty-four billion, eight hundred five million, six hundred thirty-two thousand, five hundred fifty-three".

Divisors: 1 3 29 87 443 1329 12847 38541 40343 84731 121029 254193 1169947 2457199 3509841 7371597 17871949 37535833 53615847 112607499 518286521 1088539157 1554859563 3265617471 3418302733 10254908199 99130779257 297392337771 1514308110719 4542924332157 43914935210851 131744805632553