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31306288932 = 2232832126233
BaseRepresentation
bin11101001010000000…
…000000111100100100
32222210210022020220200
4131022000000330210
51003103402221212
622214254230500
72155541031252
oct351200007444
988723266820
1031306288932
1112305647266
1260984b5430
132c4bbc2729
14172db255d2
15c3365c6dc
hex74a000f24

31306288932 has 54 divisors (see below), whose sum is σ = 80100901062. Its totient is φ = 10309619904.

The previous prime is 31306288927. The next prime is 31306288939. The reversal of 31306288932 is 23988260313.

31306288932 is a `hidden beast` number, since 3 + 13 + 0 + 628 + 8 + 9 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25874009316 + 5432279616 = 160854^2 + 73704^2 .

It is not an unprimeable number, because it can be changed into a prime (31306288939) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184888 + ... + 311120.

Almost surely, 231306288932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31306288932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40050450531).

31306288932 is an abundant number, since it is smaller than the sum of its proper divisors (48794612130).

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

31306288932 is a wasteful number, since it uses less digits than its factorization.

31306288932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126409 (or 126321 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 31306288932 in words is "thirty-one billion, three hundred six million, two hundred eighty-eight thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 747 996 1494 2988 6889 13778 20667 27556 41334 62001 82668 124002 126233 248004 252466 378699 504932 757398 1136097 1514796 2272194 4544388 10477339 20954678 31432017 41909356 62864034 94296051 125728068 188592102 377184204 869619137 1739238274 2608857411 3478476548 5217714822 7826572233 10435429644 15653144466 31306288932