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53415505242 = 2361117231933
BaseRepresentation
bin110001101111110011…
…111110110101011010
312002212121200211000000
4301233303332311122
51333343332131432
640312211353430
73600454205661
oct615763766532
9162777624000
1053415505242
1120720729760
12a4288b2876
135063564148
14282a1b5dd8
1515c966157c
hexc6fcfed5a

53415505242 has 112 divisors (see below), whose sum is σ = 131194731168. Its totient is φ = 16168753440.

The previous prime is 53415505237. The next prime is 53415505267. The reversal of 53415505242 is 24250551435.

53415505242 is a `hidden beast` number, since 53 + 4 + 1 + 550 + 52 + 4 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 53415505197 and 53415505206.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27632508 + ... + 27634440.

Almost surely, 253415505242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53415505242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65597365584).

53415505242 is an abundant number, since it is smaller than the sum of its proper divisors (77779225926).

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

53415505242 is a wasteful number, since it uses less digits than its factorization.

53415505242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 53415505242 in words is "fifty-three billion, four hundred fifteen million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 729 891 1458 1723 1782 1933 2673 3446 3866 5169 5346 5799 8019 10338 11598 15507 16038 17397 18953 21263 31014 34794 37906 42526 46521 52191 56859 63789 93042 104382 113718 127578 139563 156573 170577 191367 279126 313146 341154 382734 418689 469719 511731 574101 837378 939438 1023462 1148202 1256067 1409157 1535193 1722303 2512134 2818314 3070386 3330559 3444606 4605579 5166909 6661118 9211158 9991677 10333818 13816737 15500727 19983354 27633474 29975031 31001454 36636149 59950062 73272298 89925093 109908447 179850186 219816894 269775279 329725341 539550558 659450682 809325837 989176023 1618651674 1978352046 2427977511 2967528069 4855955022 5935056138 8902584207 17805168414 26707752621 53415505242