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413235552024 = 233253688315733
BaseRepresentation
bin1100000001101101100…
…00100001111100011000
31110111122002121002002100
412000312300201330120
523232301300131044
6513500544003400
741566235144151
oct6006660417430
91414562532070
10413235552024
1114a285772549
1268107900560
132cc77764429
1416001d26928
15ab38878869
hex6036c21f18

413235552024 has 96 divisors (see below), whose sum is σ = 1140534373680. Its totient is φ = 135117994752.

The previous prime is 413235552019. The next prime is 413235552043. The reversal of 413235552024 is 420255532314.

413235552024 is a `hidden beast` number, since 41 + 3 + 23 + 55 + 520 + 24 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413235552024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26257662 + ... + 26273394.

Almost surely, 2413235552024 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 413235552024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570267186840).

413235552024 is an abundant number, since it is smaller than the sum of its proper divisors (727298821656).

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

413235552024 is a wasteful number, since it uses less digits than its factorization.

413235552024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22681 (or 22674 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 413235552024 in words is "four hundred thirteen billion, two hundred thirty-five million, five hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 6883 13766 15733 20649 27532 31466 41298 47199 55064 61947 62932 82596 94398 123894 125864 141597 165192 188796 247788 283194 364799 377592 495576 566388 729598 833849 1094397 1132776 1459196 1667698 2188794 2501547 2918392 3283191 3335396 4377588 5003094 6566382 6670792 7504641 8755176 10006188 13132764 15009282 20012376 26265528 30018564 60037128 108290239 216580478 324870717 433160956 649741434 866321912 974612151 1299482868 1949224302 2598965736 3898448604 5739382667 7796897208 11478765334 17218148001 22957530668 34436296002 45915061336 51654444003 68872592004 103308888006 137745184008 206617776012 413235552024