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504050003952 = 243112113768013
BaseRepresentation
bin1110101010110111011…
…10001010111111110000
31210012001010000020012220
413111123232022333300
531224243300111302
61023320220521040
751262554225135
oct7253356127760
91705033006186
10504050003952
111848480a5400
12818313b0180
13386bb229611
141a57907258c
15d1a14844bc
hex755bb8aff0

504050003952 has 120 divisors (see below), whose sum is σ = 1443933905232. Its totient is φ = 151390525440.

The previous prime is 504050003881. The next prime is 504050003953. The reversal of 504050003952 is 259300050405.

It is a super-2 number, since 2×5040500039522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504050003953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272298 + ... + 1040310.

Almost surely, 2504050003952 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 504050003952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721966952616).

504050003952 is an abundant number, since it is smaller than the sum of its proper divisors (939883901280).

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

504050003952 is a wasteful number, since it uses less digits than its factorization.

504050003952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768159 (or 768142 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The spelling of 504050003952 in words is "five hundred four billion, fifty million, three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 113 121 132 176 226 242 264 339 363 452 484 528 678 726 904 968 1243 1356 1452 1808 1936 2486 2712 2904 3729 4972 5424 5808 7458 9944 13673 14916 19888 27346 29832 41019 54692 59664 82038 109384 164076 218768 328152 656304 768013 1536026 2304039 3072052 4608078 6144104 8448143 9216156 12288208 16896286 18432312 25344429 33792572 36864624 50688858 67585144 86785469 92929573 101377716 135170288 173570938 185859146 202755432 260356407 278788719 347141876 371718292 405510864 520712814 557577438 694283752 743436584 954640159 1041425628 1115154876 1388567504 1486873168 1909280318 2082851256 2230309752 2863920477 3818560636 4165702512 4460619504 5727840954 7637121272 10501041749 11455681908 15274242544 21002083498 22911363816 31503125247 42004166996 45822727632 63006250494 84008333992 126012500988 168016667984 252025001976 504050003952