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53354944945335 = 35111723747801001
BaseRepresentation
bin11000010000110101010101…
…00010100101110010110111
320222220200102211221222201110
430020122222202211302313
523443131411401222320
6305250531234530103
714144524163061555
oct1410325242456267
9228820384858643
1053354944945335
11160007835087a0
125b98667136933
1323a0471445047
14d265709c2bd5
15627d405d65e0
hex3086aa8a5cb7

53354944945335 has 64 divisors (see below), whose sum is σ = 98611061451264. Its totient is φ = 24346298880000.

The previous prime is 53354944945319. The next prime is 53354944945343.

It is a happy number.

53354944945335 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53354944945335 - 24 = 53354944945319 is a prime.

It is a super-2 number, since 2×533549449453352 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66209835 + ... + 67010835.

It is an arithmetic number, because the mean of its divisors is an integer number (1540797835176).

Almost surely, 253354944945335 is an apocalyptic number.

53354944945335 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53354944945335 is a deficient number, since it is larger than the sum of its proper divisors (45256116505929).

53354944945335 is a wasteful number, since it uses less digits than its factorization.

53354944945335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824784.

The product of its digits is 1049760000, while the sum is 66.

The spelling of 53354944945335 in words is "fifty-three trillion, three hundred fifty-four billion, nine hundred forty-four million, nine hundred forty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 165 187 255 561 935 2805 23747 71241 118735 261217 356205 403699 783651 801001 1211097 1306085 2018495 2403003 3918255 4005005 4440689 6055485 8811011 12015015 13322067 13617017 22203445 26433033 40851051 44055055 66610335 68085085 132165165 149787187 204255255 449361561 748935935 2246807805 19021370747 57064112241 95106853735 209235078217 285320561205 323363302699 627705234651 970089908097 1046175391085 1616816513495 3138526173255 3556996329689 4850449540485 10670988989067 17784981648445 53354944945335