Search a number
-
+
501036461604 = 2232761713732347
BaseRepresentation
bin1110100101010000001…
…10011010111000100100
31202220021002111102021100
413102220012122320210
531202110313232404
61022101210120100
751125102440320
oct7225006327044
91686232442240
10501036461604
11183541025438
1281130120030
133832aab3073
141a370b42980
15d076b17d39
hex74a819ae24

501036461604 has 144 divisors (see below), whose sum is σ = 1451458689408. Its totient is φ = 142756314624.

The previous prime is 501036461591. The next prime is 501036461617. The reversal of 501036461604 is 406164630105.

It is a happy number.

501036461604 is a `hidden beast` number, since 5 + 0 + 1 + 0 + 3 + 6 + 46 + 1 + 604 = 666.

It is an interprime number because it is at equal distance from previous prime (501036461591) and next prime (501036461617).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213478359 + ... + 213480705.

It is an arithmetic number, because the mean of its divisors is an integer number (10079574232).

Almost surely, 2501036461604 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 501036461604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725729344704).

501036461604 is an abundant number, since it is smaller than the sum of its proper divisors (950422227804).

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

501036461604 is a wasteful number, since it uses less digits than its factorization.

501036461604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 501036461604 in words is "five hundred one billion, thirty-six million, four hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 617 1234 1373 1851 2347 2468 2746 3702 4119 4319 4694 5492 5553 7041 7404 8238 8638 9388 9611 11106 12357 12957 14082 16429 16476 17276 19222 21123 22212 24714 25914 28164 28833 32858 38444 38871 42246 49287 49428 51828 57666 65716 77742 84492 86499 98574 115332 147861 155484 172998 197148 295722 345996 591444 847141 1448099 1694282 2541423 2896198 3222431 3388564 4344297 5082846 5792396 5929987 6444862 7624269 8688594 9667293 10136693 10165692 11859974 12889724 13032891 15248538 17377188 17789961 19334586 20273386 22557017 23719948 26065782 29001879 30410079 30497076 35579922 38669172 40546772 45114034 52131564 53369883 58003758 60820158 67671051 71159844 90228068 91230237 106739766 116007516 121640316 135342102 182460474 203013153 213479532 270684204 364920948 406026306 812052612 1988239927 3976479854 5964719781 7952959708 11929439562 13917679489 17894159343 23858879124 27835358978 35788318686 41753038467 55670717956 71576637372 83506076934 125259115401 167012153868 250518230802 501036461604