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133231615760 = 2453767092
BaseRepresentation
bin111110000010100111…
…0010001111100010000
3110201220010210100001102
41330011032101330100
54140324243201020
6141112235523532
712424414022435
oct1740516217420
9421803710042
10133231615760
1151559856961
12219a2bb95a8
13c7435628c9
14663c763b8c
1536eb909475
hex1f05391f10

133231615760 has 60 divisors (see below), whose sum is σ = 318182919588. Its totient is φ = 51844575744.

The previous prime is 133231615753. The next prime is 133231615819. The reversal of 133231615760 is 67516132331.

It can be written as a sum of positive squares in 6 ways, for example, as 13316236816 + 119915378944 = 115396^2 + 346288^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19855286 + ... + 19861994.

Almost surely, 2133231615760 is an apocalyptic number.

133231615760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133231615760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159091459794).

133231615760 is an abundant number, since it is smaller than the sum of its proper divisors (184951303828).

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

133231615760 is an frugal number, since it uses more digits than its factorization.

133231615760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13468 (or 6753 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 133231615760 in words is "one hundred thirty-three billion, two hundred thirty-one million, six hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 6709 13418 26836 33545 53672 67090 107344 134180 248233 268360 496466 536720 992932 1241165 1985864 2482330 3971728 4964660 9929320 19858640 45010681 90021362 180042724 225053405 360085448 450106810 720170896 900213620 1665395197 1800427240 3330790394 3600854480 6661580788 8326975985 13323161576 16653951970 26646323152 33307903940 66615807880 133231615760