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152466400350401 = 43101107328095701
BaseRepresentation
bin100010101010101011011001…
…101000100001000011000001
3201222211122102120212022022112
4202222223121220201003001
5124441002141442203101
61300134033011145105
744054222350630034
oct4252533150410301
9658748376768275
10152466400350401
1144642701230495
1215125014ba5195
13670c69b199487
1429915ad98701b
1512960033c36bb
hex8aaad9a210c1

152466400350401 has 16 divisors (see below), whose sum is σ = 159029299142208. Its totient is φ = 146068205640000.

The previous prime is 152466400350377. The next prime is 152466400350403. The reversal of 152466400350401 is 104053004664251.

It is a cyclic number.

It is not a de Polignac number, because 152466400350401 - 26 = 152466400350337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152466400350403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 163583150 + ... + 164512551.

It is an arithmetic number, because the mean of its divisors is an integer number (9939331196388).

Almost surely, 2152466400350401 is an apocalyptic number.

It is an amenable number.

152466400350401 is a deficient number, since it is larger than the sum of its proper divisors (6562898791807).

152466400350401 is a wasteful number, since it uses less digits than its factorization.

152466400350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328095952.

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 152466400350401 in words is "one hundred fifty-two trillion, four hundred sixty-six billion, four hundred million, three hundred fifty thousand, four hundred one".

Divisors: 1 43 101 107 4343 4601 10807 464701 328095701 14108115143 33137665801 35106240007 1424919629443 1509568320301 3545730240707 152466400350401