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53426050164 = 223279131143401
BaseRepresentation
bin110001110000011100…
…001101010001110100
312002220100112112220200
4301300130031101310
51333404032101124
640313225400500
73600642635124
oct616034152164
9162810475820
1053426050164
1120726681273
12a430339130
1350657b6a46
14282b75cc84
1515ca545bc9
hexc7070d474

53426050164 has 72 divisors (see below), whose sum is σ = 137803585920. Its totient is φ = 17448912000.

The previous prime is 53426050121. The next prime is 53426050207. The reversal of 53426050164 is 46105062435.

53426050164 is a `hidden beast` number, since 5 + 3 + 42 + 605 + 0 + 1 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (53426050121) and next prime (53426050207).

It is a super-2 number, since 2×534260501642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300864 + ... + 444264.

Almost surely, 253426050164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53426050164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68901792960).

53426050164 is an abundant number, since it is smaller than the sum of its proper divisors (84377535756).

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

53426050164 is a wasteful number, since it uses less digits than its factorization.

53426050164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143621 (or 143616 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 5342 and 6050164, that added together give a palindrome (6055506).

The spelling of 53426050164 in words is "fifty-three billion, four hundred twenty-six million, fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 131 158 237 262 316 393 474 524 711 786 948 1179 1422 1572 2358 2844 4716 10349 20698 31047 41396 62094 93141 124188 143401 186282 286802 372564 430203 573604 860406 1290609 1720812 2581218 5162436 11328679 18785531 22657358 33986037 37571062 45314716 56356593 67972074 75142124 101958111 112713186 135944148 169069779 203916222 225426372 338139558 407832444 676279116 1484056949 2968113898 4452170847 5936227796 8904341694 13356512541 17808683388 26713025082 53426050164