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475142404241574 = 23371841112247771
BaseRepresentation
bin110110000001000111011011…
…0001110001111100010100110
32022022100011121002201000112000
41230002032312032033202212
5444234213120441212244
64402313223540110130
7202036622500300506
oct15402166616174246
92268304532630460
10475142404241574
11128438842291723
1245359945995346
1317517976020144
14854902d4c9a06
1539de82717a169
hex1b023b638f8a6

475142404241574 has 32 divisors (see below), whose sum is σ = 1055873565367680. Its totient is φ = 158380568022600.

The previous prime is 475142404241489. The next prime is 475142404241627.

475142404241574 is a `hidden beast` number, since 4 + 7 + 5 + 1 + 4 + 2 + 40 + 4 + 24 + 1 + 574 = 666.

475142404241574 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4751424042415742 (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 475142404241574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32670309 + ... + 44918079.

It is an arithmetic number, because the mean of its divisors is an integer number (32996048917740).

Almost surely, 2475142404241574 is an apocalyptic number.

475142404241574 is an abundant number, since it is smaller than the sum of its proper divisors (580731161126106).

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

475142404241574 is a wasteful number, since it uses less digits than its factorization.

475142404241574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12966193 (or 12966187 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 54.

The spelling of 475142404241574 in words is "four hundred seventy-five trillion, one hundred forty-two billion, four hundred four million, two hundred forty-one thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 54 718411 1436822 2155233 4310466 6465699 12247771 12931398 19397097 24495542 36743313 38794194 73486626 110229939 220459878 330689817 661379634 8798933411881 17597866823762 26396800235643 52793600471286 79190400706929 158380801413858 237571202120787 475142404241574