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146608233090657 = 31327973113438573
BaseRepresentation
bin100001010101011011100011…
…101001111000111001100001
3201020002121110211122111011020
4201111123203221320321201
5123204012130132400112
61235450520440040053
742611044454543112
oct4125334351707141
9636077424574136
10146608233090657
1142794225569048
12145397a8763029
1363a6135312a70
14282bc3a982209
1511e393aed148c
hex8556e3a78e61

146608233090657 has 16 divisors (see below), whose sum is σ = 210515154201408. Its totient is φ = 90220121893440.

The previous prime is 146608233090653. The next prime is 146608233090691. The reversal of 146608233090657 is 756090332806641.

146608233090657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146608233090657 - 22 = 146608233090653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146608233090657.

It is not an unprimeable number, because it can be changed into a prime (146608233090653) 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, 4190223 + ... + 17628795.

It is an arithmetic number, because the mean of its divisors is an integer number (13157197137588).

It is a 1-persistent number, because it is pandigital, but 2⋅146608233090657 = 293216466181314 is not.

Almost surely, 2146608233090657 is an apocalyptic number.

It is an amenable number.

146608233090657 is a deficient number, since it is larger than the sum of its proper divisors (63906921110751).

146608233090657 is a wasteful number, since it uses less digits than its factorization.

146608233090657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718320.

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 146608233090657 in words is "one hundred forty-six trillion, six hundred eight billion, two hundred thirty-three million, ninety thousand, six hundred fifty-seven".

Divisors: 1 3 13 39 279731 839193 3636503 10909509 13438573 40315719 174701449 524104347 3759185463863 11277556391589 48869411030219 146608233090657