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42812680365 = 32571310454867
BaseRepresentation
bin100111110111110101…
…011010100010101101
311002111200121111121100
4213313311122202231
51200140021232430
631400132153313
73043636531050
oct476765324255
9132450544540
1042812680365
111717a707474
128369a68839
1340639cc380
142101d72a97
1511a88c8960
hex9f7d5a8ad

42812680365 has 48 divisors (see below), whose sum is σ = 91333726848. Its totient is φ = 18066008448.

The previous prime is 42812680363. The next prime is 42812680423. The reversal of 42812680365 is 56308621824.

42812680365 is a `hidden beast` number, since 4 + 28 + 1 + 268 + 0 + 365 = 666.

It is not a de Polignac number, because 42812680365 - 21 = 42812680363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42812680365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42812680363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5223339 + ... + 5231528.

It is an arithmetic number, because the mean of its divisors is an integer number (1902785976).

Almost surely, 242812680365 is an apocalyptic number.

42812680365 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42812680365 is an abundant number, since it is smaller than the sum of its proper divisors (48521046483).

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

42812680365 is a wasteful number, since it uses less digits than its factorization.

42812680365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10454898 (or 10454895 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42812680365 in words is "forty-two billion, eight hundred twelve million, six hundred eighty thousand, three hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 10454867 31364601 52274335 73184069 94093803 135913271 156823005 219552207 365920345 407739813 470469015 658656621 679566355 951392897 1097761035 1223219439 2038699065 2854178691 3293283105 4756964485 6116097195 8562536073 14270893455 42812680365