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31420933533 = 3311892934057
BaseRepresentation
bin11101010000110101…
…010110010110011101
310000002210000210202000
4131100311112112131
51003322224333113
622233511352513
72161432346133
oct352065262635
9100083023660
1031420933533
1112364330470
12610a982739
132c69892b82
141741049753
15c3d756373
hex750d5659d

31420933533 has 64 divisors (see below), whose sum is σ = 51539846400. Its totient is φ = 18760135680.

The previous prime is 31420933529. The next prime is 31420933549. The reversal of 31420933533 is 33533902413.

31420933533 is a `hidden beast` number, since 3 + 14 + 20 + 93 + 3 + 533 = 666.

It is not a de Polignac number, because 31420933533 - 22 = 31420933529 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420933513) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7742841 + ... + 7746897.

It is an arithmetic number, because the mean of its divisors is an integer number (805310100).

Almost surely, 231420933533 is an apocalyptic number.

31420933533 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31420933533 is a deficient number, since it is larger than the sum of its proper divisors (20118912867).

31420933533 is a wasteful number, since it uses less digits than its factorization.

31420933533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459 (or 4453 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The spelling of 31420933533 in words is "thirty-one billion, four hundred twenty million, nine hundred thirty-three thousand, five hundred thirty-three".

Divisors: 1 3 9 11 27 33 89 99 267 293 297 801 879 979 2403 2637 2937 3223 4057 7911 8811 9669 12171 26077 26433 29007 36513 44627 78231 87021 109539 133881 234693 286847 361073 401643 704079 860541 1083219 1188701 1204929 2581623 3249657 3566103 3971803 7744869 9748971 10698309 11915409 13075711 32094927 35746227 39227133 105794389 107238681 117681399 317383167 353044197 952149501 1163738279 2856448503 3491214837 10473644511 31420933533