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145216331664 = 2438933992587
BaseRepresentation
bin1000011100111110010…
…0010101111110010000
3111212211101010222120020
42013033210111332100
54334400340103124
6150413401543440
713330411311225
oct2071744257620
9455741128506
10145216331664
1156649919348
12241887a4b80
13109034a5691
14705832394c
153b9db5b379
hex21cf915f90

145216331664 has 40 divisors (see below), whose sum is σ = 379357282080. Its totient is φ = 47861561088.

The previous prime is 145216331639. The next prime is 145216331681. The reversal of 145216331664 is 466133612541.

It is a happy number.

145216331664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16992022 + ... + 17000565.

It is an arithmetic number, because the mean of its divisors is an integer number (9483932052).

Almost surely, 2145216331664 is an apocalyptic number.

It is an amenable number.

145216331664 is an abundant number, since it is smaller than the sum of its proper divisors (234140950416).

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

145216331664 is a wasteful number, since it uses less digits than its factorization.

145216331664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33992687 (or 33992681 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 145216331664 in words is "one hundred forty-five billion, two hundred sixteen million, three hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 33992587 67985174 101977761 135970348 203955522 271940696 407911044 543881392 815822088 1631644176 3025340243 6050680486 9076020729 12101360972 18152041458 24202721944 36304082916 48405443888 72608165832 145216331664