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147632381204 = 22711283525001
BaseRepresentation
bin1000100101111110010…
…0110101110100010100
3112010001202101000110112
42021133210311310110
54404322342144304
6151453230142152
713444316351360
oct2113744656424
9463052330415
10147632381204
11576796a3100
1224741951958
1310bc9bc05a9
1472071602a0
153c90d02b6e
hex225f935d14

147632381204 has 72 divisors (see below), whose sum is σ = 328458051264. Its totient is φ = 56826000000.

The previous prime is 147632381159. The next prime is 147632381207. The reversal of 147632381204 is 402183236741.

147632381204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147632381207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18704 + ... + 543704.

Almost surely, 2147632381204 is an apocalyptic number.

147632381204 is a gapful number since it is divisible by the number (14) 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 147632381204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229025632).

147632381204 is an abundant number, since it is smaller than the sum of its proper divisors (180825670060).

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

147632381204 is a wasteful number, since it uses less digits than its factorization.

147632381204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525117 (or 525104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 147632381204 in words is "one hundred forty-seven billion, six hundred thirty-two million, three hundred eighty-one thousand, two hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 83 121 154 166 242 308 332 484 581 847 913 1162 1694 1826 2324 3388 3652 6391 10043 12782 20086 25564 40172 70301 140602 281204 525001 1050002 2100004 3675007 5775011 7350014 11550022 14700028 23100044 40425077 43575083 63525121 80850154 87150166 127050242 161700308 174300332 254100484 305025581 444675847 479325913 610051162 889351694 958651826 1220102324 1778703388 1917303652 3355281391 5272585043 6710562782 10545170086 13421125564 21090340172 36908095301 73816190602 147632381204