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133280631936 = 2732137844489
BaseRepresentation
bin111110000100000100…
…1010000110010000000
3110202000120000121121100
41330020021100302000
54140424320210221
6141121150254400
712425550451644
oct1741011206200
9422016017540
10133280631936
11515844954a1
12219b74b7400
13c75076526a
146645082c24
153700d8c926
hex1f08250c80

133280631936 has 96 divisors (see below), whose sum is σ = 386328840300. Its totient is φ = 44102541312.

The previous prime is 133280631893. The next prime is 133280631949. The reversal of 133280631936 is 639136082331.

133280631936 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 0 + 631 + 9 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 115736040000 + 17544591936 = 340200^2 + 132456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 133280631891 and 133280631900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264421 + ... + 580068.

Almost surely, 2133280631936 is an apocalyptic number.

133280631936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133280631936 is an abundant number, since it is smaller than the sum of its proper divisors (253048208364).

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

133280631936 is a wasteful number, since it uses less digits than its factorization.

133280631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844646 (or 844631 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 133280631936 in words is "one hundred thirty-three billion, two hundred eighty million, six hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 1096 1152 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 17536 19728 26304 39456 52608 78912 157824 844489 1688978 2533467 3377956 5066934 6755912 7600401 10133868 13511824 15200802 20267736 27023648 30401604 40535472 54047296 60803208 81070944 108094592 115694993 121606416 162141888 231389986 243212832 324283776 347084979 462779972 486425664 694169958 925559944 972851328 1041254937 1388339916 1851119888 2082509874 2776679832 3702239776 4165019748 5553359664 7404479552 8330039496 11106719328 14808959104 16660078992 22213438656 33320157984 44426877312 66640315968 133280631936