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31452263316 = 22322982936341
BaseRepresentation
bin11101010010101100…
…110111001110010100
310000011221222112010100
4131102230313032110
51003403234411231
622240551054100
72162262553455
oct352254671624
9100157875110
1031452263316
111237aa89a51
126119371330
132c732121c6
14174528312c
15c413941e6
hex752b37394

31452263316 has 72 divisors (see below), whose sum is σ = 82347337800. Its totient is φ = 10110078720.

The previous prime is 31452263281. The next prime is 31452263333. The reversal of 31452263316 is 61336225413.

31452263316 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 2 + 2 + 633 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9790310916 + 21661952400 = 98946^2 + 147180^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 847306 + ... + 883646.

It is an arithmetic number, because the mean of its divisors is an integer number (1143713025).

Almost surely, 231452263316 is an apocalyptic number.

31452263316 is a gapful number since it is divisible by the number (36) 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 31452263316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41173668900).

31452263316 is an abundant number, since it is smaller than the sum of its proper divisors (50895074484).

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

31452263316 is a wasteful number, since it uses less digits than its factorization.

31452263316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37209 (or 37204 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 31452263316 its reverse (61336225413), we get a palindrome (92788488729).

The spelling of 31452263316 in words is "thirty-one billion, four hundred fifty-two million, two hundred sixty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 829 1044 1658 2487 3316 4974 7461 9948 14922 24041 29844 36341 48082 72123 72682 96164 109023 144246 145364 216369 218046 288492 327069 432738 436092 654138 865476 1053889 1308276 2107778 3161667 4215556 6323334 9485001 12646668 18970002 30126689 37940004 60253378 90380067 120506756 180760134 271140201 361520268 542280402 873673981 1084560804 1747347962 2621021943 3494695924 5242043886 7863065829 10484087772 15726131658 31452263316