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1653172428816 = 243211480364089
BaseRepresentation
bin11000000011101000110…
…000010110000000010000
312212001010102120201210200
4120003220300112000100
5204041144120210231
63303242410255200
7230303103535266
oct30035060260020
95761112521720
101653172428816
11588119813237
12228490127500
13bcb7ccccc7c
145a02a4aa436
152d00972cbe6
hex180e8c16010

1653172428816 has 30 divisors (see below), whose sum is σ = 4626586728270. Its totient is φ = 551057476224.

The previous prime is 1653172428799. The next prime is 1653172428841. The reversal of 1653172428816 is 6188242713561.

It is a happy number.

1653172428816 is a `hidden beast` number, since 1 + 6 + 5 + 317 + 242 + 8 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1646591974416 + 6580454400 = 1283196^2 + 81120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5740181901 + ... + 5740182188.

It is an arithmetic number, because the mean of its divisors is an integer number (154219557609).

Almost surely, 21653172428816 is an apocalyptic number.

1653172428816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1653172428816 is an abundant number, since it is smaller than the sum of its proper divisors (2973414299454).

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

1653172428816 is a wasteful number, since it uses less digits than its factorization.

1653172428816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11480364103 (or 11480364094 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 1653172428816 in words is "one trillion, six hundred fifty-three billion, one hundred seventy-two million, four hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 11480364089 22960728178 34441092267 45921456356 68882184534 91842912712 103323276801 137764369068 183685825424 206646553602 275528738136 413293107204 551057476272 826586214408 1653172428816