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53400605076 = 22337135433517
BaseRepresentation
bin110001101110111011…
…001001000110010100
312002211120122210211000
4301232323021012110
51333331023330301
640310520143300
73600213440160
oct615673110624
9162746583730
1053400605076
1120713281a75
12a423907b30
135060448090
142828217ca0
1515c81bb786
hexc6eec9194

53400605076 has 96 divisors (see below), whose sum is σ = 170395124480. Its totient is φ = 14083673472.

The previous prime is 53400605047. The next prime is 53400605077. The reversal of 53400605076 is 67050600435.

53400605076 is a `hidden beast` number, since 5 + 3 + 40 + 0 + 605 + 0 + 7 + 6 = 666.

53400605076 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 self number, because there is not a number n which added to its sum of digits gives 53400605076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53400605077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2706931 + ... + 2726586.

Almost surely, 253400605076 is an apocalyptic number.

It is an amenable number.

53400605076 is an abundant number, since it is smaller than the sum of its proper divisors (116994519404).

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

53400605076 is a wasteful number, since it uses less digits than its factorization.

53400605076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433550 (or 5433542 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 53400605076 in words is "fifty-three billion, four hundred million, six hundred five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9828 5433517 10867034 16300551 21734068 32601102 38034619 48901653 65202204 70635721 76069238 97803306 114103857 141271442 146704959 152138476 195606612 211907163 228207714 282542884 293409918 342311571 423814326 456415428 494450047 586819836 635721489 684623142 847628652 988900094 1026934713 1271442978 1369246284 1483350141 1907164467 1977800188 2053869426 2542885956 2966700282 3814328934 4107738852 4450050423 5933400564 7628657868 8900100846 13350151269 17800201692 26700302538 53400605076