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45389710080 = 28325111359467
BaseRepresentation
bin101010010001011100…
…000000001100000000
311100011021202011210100
4222101130000030000
51220424231210310
632503551002400
73164541112161
oct522134001400
9140137664710
1045389710080
1118282342aa0
128968b09400
13438488bc20
1422a8315768
1512a9c6cec0
hexa91700300

45389710080 has 864 divisors, whose sum is σ = 188027723520. Its totient is φ = 9963601920.

The previous prime is 45389710039. The next prime is 45389710117. The reversal of 45389710080 is 8001798354.

45389710080 is a `hidden beast` number, since 4 + 538 + 9 + 7 + 100 + 8 + 0 = 666.

It is a super-2 number, since 2×453897100802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 97194007 + ... + 97194473.

It is an arithmetic number, because the mean of its divisors is an integer number (217624680).

Almost surely, 245389710080 is an apocalyptic number.

45389710080 is a gapful number since it is divisible by the number (40) 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 45389710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94013861760).

45389710080 is an abundant number, since it is smaller than the sum of its proper divisors (142638013440).

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

45389710080 is a wasteful number, since it uses less digits than its factorization.

45389710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 45389710080 in words is "forty-five billion, three hundred eighty-nine million, seven hundred ten thousand, eighty".