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506104163631 = 341141117111831
BaseRepresentation
bin1110101110101100010…
…10001010110100101111
31210101100021021100120000
413113112022022310233
531243000131214011
61024300120355343
751364506260643
oct7272612126457
91711307240500
10506104163631
11185701673a30
1282105315b53
1338957987511
141a6d1bc8c23
15d271994356
hex75d628ad2f

506104163631 has 80 divisors (see below), whose sum is σ = 845671470336. Its totient is φ = 298967760000.

The previous prime is 506104163623. The next prime is 506104163659. The reversal of 506104163631 is 136361401605.

506104163631 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 0 + 4 + 16 + 3 + 631 = 666.

It is not a de Polignac number, because 506104163631 - 23 = 506104163623 is a prime.

It is a super-2 number, since 2×5061041636312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506104163681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42771886 + ... + 42783716.

Almost surely, 2506104163631 is an apocalyptic number.

506104163631 is a deficient number, since it is larger than the sum of its proper divisors (339567306705).

506104163631 is a wasteful number, since it uses less digits than its factorization.

506104163631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13066 (or 13057 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 506104163631 in words is "five hundred six billion, one hundred four million, one hundred sixty-three thousand, six hundred thirty-one".

Divisors: 1 3 9 11 27 33 41 81 99 123 297 369 451 891 1107 1171 1353 3321 3513 4059 10539 11831 12177 12881 31617 35493 36531 38643 48011 94851 106479 115929 130141 144033 319437 347787 390423 432099 485071 528121 958311 1043361 1171269 1296297 1455213 1584363 3513807 3888891 4365639 4753089 5335781 10541421 13096917 13854101 14259267 16007343 39290751 41562303 42777801 48022029 124686909 144066087 152395111 374060727 432198261 457185333 568018141 1122182181 1371555999 1704054423 4114667997 5112163269 6248199551 12344003991 15336489807 18744598653 46009469421 56233795959 168701387877 506104163631