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90430297849242 = 23213282935859169
BaseRepresentation
bin10100100011111011110001…
…110001111011110110011010
3102212012001101221101212011200
4110203323301301323312122
543323102222222133432
6520155034425535030
725022242040035641
oct2443736161736632
9385161357355150
1090430297849242
11268a530169408a
12a185bb7944476
133b5c704617a00
141848bc7aa4358
15a6c4760d5a7c
hex523ef1c7bd9a

90430297849242 has 72 divisors (see below), whose sum is σ = 212419323920700. Its totient is φ = 27791142073344.

The previous prime is 90430297849181. The next prime is 90430297849249. The reversal of 90430297849242 is 24294879203409.

90430297849242 is a `hidden beast` number, since 9 + 0 + 4 + 30 + 2 + 9 + 78 + 492 + 42 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 48007728995121 + 42422568854121 = 6928761^2 + 6513261^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 90430297849242.

It is not an unprimeable number, because it can be changed into a prime (90430297849249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15407767 + ... + 20451402.

Almost surely, 290430297849242 is an apocalyptic number.

90430297849242 is an abundant number, since it is smaller than the sum of its proper divisors (121989026071458).

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

90430297849242 is a wasteful number, since it uses less digits than its factorization.

90430297849242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35860032 (or 35860016 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 90430297849242 in words is "ninety trillion, four hundred thirty billion, two hundred ninety-seven million, eight hundred forty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 829 1014 1521 1658 2487 3042 4974 7461 10777 14922 21554 32331 64662 96993 140101 193986 280202 420303 840606 1260909 2521818 35859169 71718338 107577507 215155014 322732521 466169197 645465042 932338394 1398507591 2797015182 4195522773 6060199561 8391045546 12120399122 18180598683 29727251101 36361197366 54541796049 59454502202 89181753303 109083592098 178363506606 267545259909 386454264313 535090519818 772908528626 1159362792939 2318725585878 3478088378817 5023905436069 6956176757634 10047810872138 15071716308207 30143432616414 45215148924621 90430297849242