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146150563663236 = 223111910712717923957
BaseRepresentation
bin100001001110110001010100…
…011011100100110110000100
3201011110212011001212122222010
4201032301110123210312010
5123124012323244210421
61234500350403534220
742533013132600456
oct4116612433446604
9634425131778863
10146150563663236
1142628119061330
1214484b6008a370
136371c29035192
142813a216762d6
1511d6aa1795076
hex84ec546e4d84

146150563663236 has 384 divisors, whose sum is σ = 400613946163200. Its totient is φ = 41005604021760.

The previous prime is 146150563663219. The next prime is 146150563663253. The reversal of 146150563663236 is 632366365051641.

It is an interprime number because it is at equal distance from previous prime (146150563663219) and next prime (146150563663253).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6100524970 + ... + 6100548926.

It is an arithmetic number, because the mean of its divisors is an integer number (1043265484800).

Almost surely, 2146150563663236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146150563663236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200306973081600).

146150563663236 is an abundant number, since it is smaller than the sum of its proper divisors (254463382499964).

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

146150563663236 is a wasteful number, since it uses less digits than its factorization.

146150563663236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24407 (or 24405 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 57.

The spelling of 146150563663236 in words is "one hundred forty-six trillion, one hundred fifty billion, five hundred sixty-three million, six hundred sixty-three thousand, two hundred thirty-six".