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42748893696 = 293236183239
BaseRepresentation
bin100111110100000010…
…000101101000000000
311002100020120210202010
4213310002011220000
51200022204044241
631345533052520
73042233413065
oct476402055000
9132306523663
1042748893696
11171476aa613
128350627140
134053727992
1420d76cac6c
1511a2ec8d16
hex9f4085a00

42748893696 has 320 divisors, whose sum is σ = 122752143360. Its totient is φ = 13189693440.

The previous prime is 42748893683. The next prime is 42748893713. The reversal of 42748893696 is 69639884724.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178865545 + ... + 178865783.

It is an arithmetic number, because the mean of its divisors is an integer number (383600448).

Almost surely, 242748893696 is an apocalyptic number.

42748893696 is a gapful number since it is divisible by the number (46) 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 42748893696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61376071680).

42748893696 is an abundant number, since it is smaller than the sum of its proper divisors (80003249664).

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

42748893696 is a wasteful number, since it uses less digits than its factorization.

42748893696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 411 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 66.

The spelling of 42748893696 in words is "forty-two billion, seven hundred forty-eight million, eight hundred ninety-three thousand, six hundred ninety-six".