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32740040970 = 23357132945949
BaseRepresentation
bin11110011111011101…
…010110000100001010
310010111201011101222000
4132133131112010022
51014022422302340
623012432411430
72236220520330
oct363735260412
9103451141860
1032740040970
11129809993aa
1264186a6b76
133119c5ac10
141828301b50
15cb946cd30
hex79f75610a

32740040970 has 256 divisors, whose sum is σ = 111162240000. Its totient is φ = 6669444096.

The previous prime is 32740040953. The next prime is 32740041013. The reversal of 32740040970 is 7904004723.

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 127 ways as a sum of consecutive naturals, for example, 689556 + ... + 735504.

It is an arithmetic number, because the mean of its divisors is an integer number (434227500).

Almost surely, 232740040970 is an apocalyptic number.

32740040970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32740040970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55581120000).

32740040970 is an abundant number, since it is smaller than the sum of its proper divisors (78422199030).

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

32740040970 is a wasteful number, since it uses less digits than its factorization.

32740040970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46014 (or 46008 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 32740040970 in words is "thirty-two billion, seven hundred forty million, forty thousand, nine hundred seventy".