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631977138 = 232133597523
BaseRepresentation
bin100101101010110…
…011010010110010
31122001011202122200
4211222303102302
52243241232023
6142413244030
721442500642
oct4552632262
91561152580
10631977138
112a4809861
12157793616
13a0c13790
145dd0c522
153a737743
hex25ab34b2

631977138 has 48 divisors (see below), whose sum is σ = 1478917440. Its totient is φ = 193887072.

The previous prime is 631977127. The next prime is 631977173. The reversal of 631977138 is 831779136.

631977138 is a `hidden beast` number, since 631 + 9 + 7 + 7 + 1 + 3 + 8 = 666.

631977138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 631977093 and 631977102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80245 + ... + 87767.

It is an arithmetic number, because the mean of its divisors is an integer number (30810780).

Almost surely, 2631977138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631977138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

631977138 is an abundant number, since it is smaller than the sum of its proper divisors (846940302).

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

631977138 is a wasteful number, since it uses less digits than its factorization.

631977138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7900 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 631977138 is about 25139.1554750751. The cubic root of 631977138 is about 858.1577374752.

The spelling of 631977138 in words is "six hundred thirty-one million, nine hundred seventy-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 359 718 1077 2154 3231 4667 6462 7523 9334 14001 15046 22569 28002 42003 45138 67707 84006 97799 135414 195598 293397 586794 880191 1760382 2700757 5401514 8102271 16204542 24306813 35109841 48613626 70219682 105329523 210659046 315988569 631977138