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45921790080 = 273551915541
BaseRepresentation
bin101010110001001001…
…101110100010000000
311101112100221122100000
4222301021232202000
51223021434240310
633032435200000
73213661526625
oct526111564200
9141470848300
1045921790080
1118525720631
128a97146000
13443ab9696a
142318c5c34c
1512db8214c0
hexab126e880

45921790080 has 384 divisors, whose sum is σ = 173113012800. Its totient is φ = 11600547840.

The previous prime is 45921790049. The next prime is 45921790097. The reversal of 45921790080 is 8009712954.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 2947110 + ... + 2962650.

Almost surely, 245921790080 is an apocalyptic number.

45921790080 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 45921790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86556506400).

45921790080 is an abundant number, since it is smaller than the sum of its proper divisors (127191222720).

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

45921790080 is a wasteful number, since it uses less digits than its factorization.

45921790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15594 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 45921790080 in words is "forty-five billion, nine hundred twenty-one million, seven hundred ninety thousand, eighty".