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50642167752 = 233211224112
BaseRepresentation
bin101111001010100000…
…100010011111001000
311211201100011200011200
4233022200202133020
51312203343332002
635133101224200
73441650215641
oct571240423710
9154640150150
1050642167752
111a528202200
129993b62060
134a10b10a47
142645b326c8
1514b5e41b1c
hexbca8227c8

50642167752 has 108 divisors (see below), whose sum is σ = 150820661355. Its totient is φ = 15339746400.

The previous prime is 50642167739. The next prime is 50642167753. The reversal of 50642167752 is 25776124605.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

50642167752 is a `hidden beast` number, since 506 + 4 + 21 + 6 + 77 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25321083876 + 25321083876 = 159126^2 + 159126^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=159126.

It is a junction number, because it is equal to n+sod(n) for n = 50642167698 and 50642167707.

It is not an unprimeable number, because it can be changed into a prime (50642167753) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21003427 + ... + 21005837.

Almost surely, 250642167752 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 50642167752

50642167752 is an abundant number, since it is smaller than the sum of its proper divisors (100178493603).

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

50642167752 is a wasteful number, since it uses less digits than its factorization.

50642167752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 50642167752 in words is "fifty billion, six hundred forty-two million, one hundred sixty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2411 2904 4356 4822 7233 8712 9644 14466 19288 21699 26521 28932 43398 53042 57864 79563 86796 106084 159126 173592 212168 238689 291731 318252 477378 583462 636504 875193 954756 1166924 1750386 1909512 2333848 2625579 3500772 5251158 5812921 7001544 10502316 11625842 17438763 21004632 23251684 34877526 46503368 52316289 63942131 69755052 104632578 127884262 139510104 191826393 209265156 255768524 383652786 418530312 511537048 575479179 703363441 767305572 1150958358 1406726882 1534611144 2110090323 2301916716 2813453764 4220180646 4603833432 5626907528 6330270969 8440361292 12660541938 16880722584 25321083876 50642167752