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31353544716 = 223131913180749
BaseRepresentation
bin11101001100110100…
…010010000000001100
32222221002020002122220
4131030310102000030
51003203001412331
622223103135340
72156653506234
oct351464220014
988832202586
1031353544716
111232a29322a
1260b02a4550
132c58929a30
141736106cc4
15c37894296
hex74cd1200c

31353544716 has 96 divisors (see below), whose sum is σ = 83566560000. Its totient is φ = 9069615360.

The previous prime is 31353544711. The next prime is 31353544753. The reversal of 31353544716 is 61744535313.

It is not an unprimeable number, because it can be changed into a prime (31353544711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347910 + ... + 428658.

It is an arithmetic number, because the mean of its divisors is an integer number (870485000).

Almost surely, 231353544716 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 31353544716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783280000).

31353544716 is an abundant number, since it is smaller than the sum of its proper divisors (52213015284).

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

31353544716 is a wasteful number, since it uses less digits than its factorization.

31353544716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80919 (or 80917 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The spelling of 31353544716 in words is "thirty-one billion, three hundred fifty-three million, five hundred forty-four thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 131 156 228 247 262 393 494 524 741 786 988 1482 1572 1703 2489 2964 3406 4978 5109 6812 7467 9956 10218 14934 20436 29868 32357 64714 80749 97071 129428 161498 194142 242247 322996 388284 484494 968988 1049737 1534231 2099474 3068462 3149211 4198948 4602693 6136924 6298422 9205386 10578119 12596844 18410772 19945003 21156238 31734357 39890006 42312476 59835009 63468714 79780012 119670018 126937428 137515547 200984261 239340036 275031094 401968522 412546641 550062188 602952783 803937044 825093282 1205905566 1650186564 2411811132 2612795393 5225590786 7838386179 10451181572 15676772358 31353544716