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53413929504 = 25321331460211
BaseRepresentation
bin110001101111101101…
…111110001000100000
312002212111201202111100
4301233231332020200
51333342431221004
640312113514400
73600434623665
oct615755761040
9162774652440
1053413929504
112071a8528a1
12a428272a00
135063131b60
142829cc5a6c
1515c944e739
hexc6fb7e220

53413929504 has 144 divisors (see below), whose sum is σ = 168857305344. Its totient is φ = 15904857600.

The previous prime is 53413929451. The next prime is 53413929509. The reversal of 53413929504 is 40592931435.

53413929504 is a `hidden beast` number, since 5 + 3 + 4 + 139 + 2 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 53413929504.

It is not an unprimeable number, because it can be changed into a prime (53413929509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114042 + ... + 346169.

It is an arithmetic number, because the mean of its divisors is an integer number (1172620176).

Almost surely, 253413929504 is an apocalyptic number.

It is an amenable number.

53413929504 is an abundant number, since it is smaller than the sum of its proper divisors (115443375840).

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

53413929504 is a wasteful number, since it uses less digits than its factorization.

53413929504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460271 (or 460260 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53413929504 in words is "fifty-three billion, four hundred thirteen million, nine hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 72 78 93 96 104 117 124 144 156 186 208 234 248 279 288 312 372 403 416 468 496 558 624 744 806 936 992 1116 1209 1248 1488 1612 1872 2232 2418 2976 3224 3627 3744 4464 4836 6448 7254 8928 9672 12896 14508 19344 29016 38688 58032 116064 460211 920422 1380633 1840844 2761266 3681688 4141899 5522532 5982743 7363376 8283798 11045064 11965486 14266541 14726752 16567596 17948229 22090128 23930972 28533082 33135192 35896458 42799623 44180256 47861944 53844687 57066164 66270384 71792916 85599246 95723888 107689374 114132328 128398869 132540768 143585832 171198492 185465033 191447776 215378748 228264656 256797738 287171664 342396984 370930066 430757496 456529312 513595476 556395099 574343328 684793968 741860132 861514992 1027190952 1112790198 1369587936 1483720264 1669185297 1723029984 2054381904 2225580396 2967440528 3338370594 4108763808 4451160792 5934881056 6676741188 8902321584 13353482376 17804643168 26706964752 53413929504