Search a number
-
+
5721313200408 = 23331313115553471
BaseRepresentation
bin101001101000001100011…
…0101110100100100011000
3202020221201011011021201000
41103100120311310210120
51222214222134403113
620100200205425000
71130231321542161
oct123203065644430
922227634137630
105721313200408
111906439169073
127849b426b160
13326695cb62a0
1415acad52c768
159dc57991373
hex53418d74918

5721313200408 has 128 divisors (see below), whose sum is σ = 17245689753600. Its totient is φ = 1746965750400.

The previous prime is 5721313200401. The next prime is 5721313200433. The reversal of 5721313200408 is 8040023131275.

5721313200408 is a `hidden beast` number, since 5 + 7 + 213 + 1 + 32 + 0 + 0 + 408 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5721313200401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7408888 + ... + 8144583.

It is an arithmetic number, because the mean of its divisors is an integer number (134731951200).

Almost surely, 25721313200408 is an apocalyptic number.

It is an amenable number.

5721313200408 is an abundant number, since it is smaller than the sum of its proper divisors (11524376553192).

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

5721313200408 is a wasteful number, since it uses less digits than its factorization.

5721313200408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15553630 (or 15553620 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 5721313200408 in words is "five trillion, seven hundred twenty-one billion, three hundred thirteen million, two hundred thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 131 156 216 234 262 312 351 393 468 524 702 786 936 1048 1179 1404 1572 1703 2358 2808 3144 3406 3537 4716 5109 6812 7074 9432 10218 13624 14148 15327 20436 28296 30654 40872 45981 61308 91962 122616 183924 367848 15553471 31106942 46660413 62213884 93320826 124427768 139981239 186641652 202195123 279962478 373283304 404390246 419943717 559924956 606585369 808780492 839887434 1119849912 1213170738 1617560984 1679774868 1819756107 2037504701 2426341476 3359549736 3639512214 4075009402 4852682952 5459268321 6112514103 7279024428 8150018804 10918536642 12225028206 14558048856 16300037608 18337542309 21837073284 24450056412 26487561113 36675084618 43674146568 48900112824 52975122226 55012626927 73350169236 79462683339 105950244452 110025253854 146700338472 158925366678 211900488904 220050507708 238388050017 317850733356 440101015416 476776100034 635701466712 715164150051 953552200068 1430328300102 1907104400136 2860656600204 5721313200408