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145216415601 = 337757693359
BaseRepresentation
bin1000011100111110010…
…0101010011101110001
3111212211101022020201000
42013033210222131301
54334400400244401
6150413403432213
713330412111025
oct2071744523561
9455741266630
10145216415601
1156649976414
1224188825669
131090350494a
147058346385
153b9db76186
hex21cf92a771

145216415601 has 16 divisors (see below), whose sum is σ = 215163475200. Its totient is φ = 96798323664.

The previous prime is 145216415527. The next prime is 145216415621. The reversal of 145216415601 is 106514612541.

145216415601 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 1 + 6 + 41 + 5 + 601 = 666.

It is not a de Polignac number, because 145216415601 - 219 = 145215891313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145216415621) 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, 137241 + ... + 556118.

It is an arithmetic number, because the mean of its divisors is an integer number (13447717200).

Almost surely, 2145216415601 is an apocalyptic number.

It is an amenable number.

145216415601 is a deficient number, since it is larger than the sum of its proper divisors (69947059599).

145216415601 is an equidigital number, since it uses as much as digits as its factorization.

145216415601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701125 (or 701119 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 145216415601 in words is "one hundred forty-five billion, two hundred sixteen million, four hundred fifteen thousand, six hundred one".

Divisors: 1 3 9 27 7757 23271 69813 209439 693359 2080077 6240231 18720693 5378385763 16135157289 48405471867 145216415601