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133521337752 = 233111914126423
BaseRepresentation
bin111110001011001111…
…1011110110110011000
3110202122022221201220120
41330112133132312120
54141422430302002
6141201105353240
712434532434115
oct1742637366630
9422568851816
10133521337752
1151698350320
1221a64038820
13c78b5a243a
14666901d90c
153717087cbc
hex1f167ded98

133521337752 has 64 divisors (see below), whose sum is σ = 364181909760. Its totient is φ = 40457366400.

The previous prime is 133521337681. The next prime is 133521337759. The reversal of 133521337752 is 257733125331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133521337759) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5040013 + ... + 5066435.

It is an arithmetic number, because the mean of its divisors is an integer number (5690342340).

Almost surely, 2133521337752 is an apocalyptic number.

133521337752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133521337752 is an abundant number, since it is smaller than the sum of its proper divisors (230660572008).

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

133521337752 is a wasteful number, since it uses less digits than its factorization.

133521337752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45584 (or 45580 counting only the distinct ones).

The product of its digits is 396900, while the sum is 42.

The spelling of 133521337752 in words is "one hundred thirty-three billion, five hundred twenty-one million, three hundred thirty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 19141 26423 38282 52846 57423 76564 79269 105692 114846 153128 158538 210551 211384 229692 290653 317076 421102 459384 581306 631653 634152 842204 871959 1162612 1263306 1684408 1743918 2325224 2526612 3487836 5053224 6975672 505762643 1011525286 1517287929 2023050572 3034575858 4046101144 5563389073 6069151716 11126778146 12138303432 16690167219 22253556292 33380334438 44507112584 66760668876 133521337752