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31673424384 = 2933721923107
BaseRepresentation
bin11101011111111000…
…100001101000000000
310000202101010200002000
4131133320201220000
51004331344040014
622314531224000
72200616444100
oct353770415000
9100671120060
1031673424384
1112483905598
12617b448000
132ca9c98244
1417667b3200
15c559cd509
hex75fe21a00

31673424384 has 960 divisors, whose sum is σ = 120913689600. Its totient is φ = 8123867136.

The previous prime is 31673424373. The next prime is 31673424401. The reversal of 31673424384 is 48342437613.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296013259 + ... + 296013365.

It is an arithmetic number, because the mean of its divisors is an integer number (125951760).

Almost surely, 231673424384 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 31673424384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60456844800).

31673424384 is an abundant number, since it is smaller than the sum of its proper divisors (89240265216).

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

31673424384 is a wasteful number, since it uses less digits than its factorization.

31673424384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 31673424384 in words is "thirty-one billion, six hundred seventy-three million, four hundred twenty-four thousand, three hundred eighty-four".