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427316404613724 = 223329136435633657
BaseRepresentation
bin110000100101001000101101…
…0100000001111001001011100
32002001000001022221210100102000
41201022101122200033021130
5422002122444040114344
64112454240215402300
7156002406601036233
oct14112213240171134
92061001287710360
10427316404613724
1111417996231a37a
123bb14947383390
13154589c180a522
14777431d817b1a
15346073113da69
hex184a45a80f25c

427316404613724 has 48 divisors (see below), whose sum is σ = 1146059322727200. Its totient is φ = 137527118725248.

The previous prime is 427316404613717. The next prime is 427316404613729.

It is a happy number.

427316404613724 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 16 + 4 + 0 + 4 + 613 + 7 + 2 + 4 = 666.

427316404613724 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427316404613729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68217813697 + ... + 68217819960.

It is an arithmetic number, because the mean of its divisors is an integer number (23876235890150).

Almost surely, 2427316404613724 is an apocalyptic number.

It is an amenable number.

427316404613724 is an abundant number, since it is smaller than the sum of its proper divisors (718742918113476).

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

427316404613724 is a wasteful number, since it uses less digits than its factorization.

427316404613724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136435633699 (or 136435633691 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 427316404613724 in words is "four hundred twenty-seven trillion, three hundred sixteen billion, four hundred four million, six hundred thirteen thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 136435633657 272871267314 409306900971 545742534628 818613801942 1227920702913 1637227603884 2455841405826 3683762108739 3956633376053 4911682811652 7367524217478 7913266752106 11869900128159 14735048434956 15826533504212 23739800256318 35609700384477 47479600512636 71219400768954 106829101153431 142438801537908 213658202306862 427316404613724