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31787403252 = 22311272730113
BaseRepresentation
bin11101100110101011…
…010100011111110100
310001001022121101200120
4131212223110133310
51010100033401002
622334122211540
72203502320023
oct354653243764
9101038541616
1031787403252
1112532184600
1261b1653bb0
132cc7794667
1417779a28ba
15c609e4cbc
hex766ad47f4

31787403252 has 72 divisors (see below), whose sum is σ = 81641222208. Its totient is φ = 9618977280.

The previous prime is 31787403251. The next prime is 31787403311. The reversal of 31787403252 is 25230478713.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31787403251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040548 + ... + 1070660.

It is an arithmetic number, because the mean of its divisors is an integer number (1133905864).

Almost surely, 231787403252 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 31787403252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40820611104).

31787403252 is an abundant number, since it is smaller than the sum of its proper divisors (49853818956).

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

31787403252 is a wasteful number, since it uses less digits than its factorization.

31787403252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30869 (or 30856 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 31787403252 in words is "thirty-one billion, seven hundred eighty-seven million, four hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 727 1452 1454 2181 2908 4362 7997 8724 15994 23991 30113 31988 47982 60226 87967 90339 95964 120452 175934 180678 263901 331243 351868 361356 527802 662486 993729 1055604 1324972 1987458 3643673 3974916 7287346 10931019 14574692 21862038 21892151 43724076 43784302 65676453 87568604 131352906 240813661 262705812 481627322 722440983 963254644 1444881966 2648950271 2889763932 5297900542 7946850813 10595801084 15893701626 31787403252