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133964409654 = 23389178915581
BaseRepresentation
bin111110011000011100…
…1101010101100110110
3110210210012200010022000
41330300321222230312
54143324342102104
6141313054120130
712451522456665
oct1746071525466
9423705603260
10133964409654
11518a5464849
1221b684b0046
13c82c31486a
1466abbd6ddc
153740e08639
hex1f30e6ab36

133964409654 has 64 divisors (see below), whose sum is σ = 301231224000. Its totient is φ = 44125551360.

The previous prime is 133964409599. The next prime is 133964409661. The reversal of 133964409654 is 456904469331.

It is a happy number.

133964409654 is a `hidden beast` number, since 133 + 9 + 6 + 440 + 9 + 65 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 133964409654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8590144 + ... + 8605724.

It is an arithmetic number, because the mean of its divisors is an integer number (4706737875).

Almost surely, 2133964409654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133964409654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150615612000).

133964409654 is an abundant number, since it is smaller than the sum of its proper divisors (167266814346).

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

133964409654 is a wasteful number, since it uses less digits than its factorization.

133964409654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470 (or 17464 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 133964409654 in words is "one hundred thirty-three billion, nine hundred sixty-four million, four hundred nine thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 89 178 267 534 801 1602 1789 2403 3578 4806 5367 10734 15581 16101 31162 32202 46743 48303 93486 96606 140229 159221 280458 318442 420687 477663 841374 955326 1386709 1432989 2773418 2865978 4160127 4298967 8320254 8597934 12480381 24960762 27874409 37441143 55748818 74882286 83623227 167246454 250869681 501739362 752609043 1505218086 2480822401 4961644802 7442467203 14884934406 22327401609 44654803218 66982204827 133964409654