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152978634016 = 2513367737101
BaseRepresentation
bin1000111001111000111…
…1001011010100100000
3112121212100021210120221
42032132033023110200
510001300012242031
6154135531012424
714023644635305
oct2163617132440
9477770253527
10152978634016
11599724a5a5a
122579429a114
131156c6c28b0
1475931d50ac
153ea5352a11
hex239e3cb520

152978634016 has 24 divisors (see below), whose sum is σ = 324344123964. Its totient is φ = 70605523200.

The previous prime is 152978633981. The next prime is 152978634023. The reversal of 152978634016 is 610436879251.

It can be written as a sum of positive squares in 2 ways, for example, as 134105369616 + 18873264400 = 366204^2 + 137380^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183868135 + ... + 183868966.

It is a 1-persistent number, because it is pandigital, but 2⋅152978634016 = 305957268032 is not.

Almost surely, 2152978634016 is an apocalyptic number.

152978634016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152978634016 is an abundant number, since it is smaller than the sum of its proper divisors (171365489948).

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

152978634016 is a wasteful number, since it uses less digits than its factorization.

152978634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367737124 (or 367737116 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 152978634016 in words is "one hundred fifty-two billion, nine hundred seventy-eight million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 367737101 735474202 1470948404 2941896808 4780582313 5883793616 9561164626 11767587232 19122329252 38244658504 76489317008 152978634016