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157421706743808 = 2123313911120193
BaseRepresentation
bin100011110010110010011000…
…111010010001000000000000
3202122101100221102001222102000
4203302302120322101000000
5131113144123411300213
61314450311140424000
745105225434202153
oct4362623072210000
9678340842058360
10157421706743808
11461831975328a1
12157a546b0a8000
1369aba59978480
142ac3373659c9a
15132ed77029c73
hex8f2c98e91000

157421706743808 has 416 divisors, whose sum is σ = 502808464058880. Its totient is φ = 48383876136960.

The previous prime is 157421706743801. The next prime is 157421706743809. The reversal of 157421706743808 is 808347607124751.

It is a happy number.

157421706743808 is a `hidden beast` number, since 1 + 5 + 7 + 421 + 70 + 67 + 4 + 3 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×1574217067438082 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157421706743801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309680960 + ... + 1309801152.

Almost surely, 2157421706743808 is an apocalyptic number.

157421706743808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157421706743808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251404232029440).

157421706743808 is an abundant number, since it is smaller than the sum of its proper divisors (345386757315072).

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

157421706743808 is a wasteful number, since it uses less digits than its factorization.

157421706743808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121150 (or 121122 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 157421706743808 in words is "one hundred fifty-seven trillion, four hundred twenty-one billion, seven hundred six million, seven hundred forty-three thousand, eight hundred eight".