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53440400088 = 233223283114031
BaseRepresentation
bin110001110001010010…
…111100101011011000
312002221100112121022100
4301301102330223120
51333421220300323
640314501123400
73601205622465
oct616122745330
9162840477270
1053440400088
1120733792609
12a4350b9560
13506876c51a
14282d61666c
1515cb92c943
hexc714bcad8

53440400088 has 96 divisors (see below), whose sum is σ = 151562211840. Its totient is φ = 16978610880.

The previous prime is 53440400033. The next prime is 53440400089. The reversal of 53440400088 is 88000404435.

53440400088 is a `hidden beast` number, since 534 + 4 + 0 + 40 + 0 + 0 + 88 = 666.

53440400088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53440400089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411633 + ... + 525663.

It is an arithmetic number, because the mean of its divisors is an integer number (1578773040).

Almost surely, 253440400088 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 53440400088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75781105920).

53440400088 is an abundant number, since it is smaller than the sum of its proper divisors (98121811752).

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

53440400088 is a wasteful number, since it uses less digits than its factorization.

53440400088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114349 (or 114342 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 53440400088 in words is "fifty-three billion, four hundred forty million, four hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 283 414 552 566 828 849 1132 1656 1698 2264 2547 3396 5094 6509 6792 10188 13018 19527 20376 26036 39054 52072 58581 78108 114031 117162 156216 228062 234324 342093 456124 468648 684186 912248 1026279 1368372 2052558 2622713 2736744 4105116 5245426 7868139 8210232 10490852 15736278 20981704 23604417 31472556 32270773 47208834 62945112 64541546 94417668 96812319 129083092 188835336 193624638 258166184 290436957 387249276 580873914 742227779 774498552 1161747828 1484455558 2226683337 2323495656 2968911116 4453366674 5937822232 6680050011 8906733348 13360100022 17813466696 26720200044 53440400088