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31350486432 = 2538328313903
BaseRepresentation
bin11101001100101000…
…100111010110100000
32222220212110201111010
4131030220213112200
51003201211031212
622222513420520
72156615511036
oct351450472640
988825421433
1031350486432
1112328594521
1260ab26a740
132c580c89b5
14173594c556
15c3748d03c
hex74ca275a0

31350486432 has 96 divisors (see below), whose sum is σ = 83586843648. Its totient is φ = 10287035136.

The previous prime is 31350486389. The next prime is 31350486491. The reversal of 31350486432 is 23468405313.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247993 + ... + 2261895.

It is an arithmetic number, because the mean of its divisors is an integer number (870696288).

Almost surely, 231350486432 is an apocalyptic number.

31350486432 is a gapful number since it is divisible by the number (32) 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 31350486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41793421824).

31350486432 is an abundant number, since it is smaller than the sum of its proper divisors (52236357216).

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

31350486432 is a wasteful number, since it uses less digits than its factorization.

31350486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14282 (or 14274 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 31350486432 in words is "thirty-one billion, three hundred fifty million, four hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 283 332 498 566 664 849 996 1132 1328 1698 1992 2264 2656 3396 3984 4528 6792 7968 9056 13584 13903 23489 27168 27806 41709 46978 55612 70467 83418 93956 111224 140934 166836 187912 222448 281868 333672 375824 444896 563736 667344 751648 1127472 1153949 1334688 2254944 2307898 3461847 3934549 4615796 6923694 7869098 9231592 11803647 13847388 15738196 18463184 23607294 27694776 31476392 36926368 47214588 55389552 62952784 94429176 110779104 125905568 188858352 326567567 377716704 653135134 979702701 1306270268 1959405402 2612540536 3918810804 5225081072 7837621608 10450162144 15675243216 31350486432