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45517741920 = 25325710914139
BaseRepresentation
bin101010011001000100…
…011001111101100000
311100111012122212110100
4222121010121331200
51221210020220140
632524403102400
73200654264640
oct523104317540
9140435585410
1045517741920
1118338640232
1289a3971a00
1343a5268901
1422bb322520
1512b610d530
hexa99119f60

45517741920 has 288 divisors, whose sum is σ = 177724834560. Its totient is φ = 10392007680.

The previous prime is 45517741889. The next prime is 45517741921. The reversal of 45517741920 is 2914771554.

45517741920 is a `hidden beast` number, since 4 + 5 + 517 + 7 + 41 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×455177419203 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45517741921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10995211 + ... + 10999349.

It is an arithmetic number, because the mean of its divisors is an integer number (617100120).

Almost surely, 245517741920 is an apocalyptic number.

45517741920 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 45517741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88862417280).

45517741920 is an abundant number, since it is smaller than the sum of its proper divisors (132207092640).

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

45517741920 is a wasteful number, since it uses less digits than its factorization.

45517741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5247 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 45517741920 in words is "forty-five billion, five hundred seventeen million, seven hundred forty-one thousand, nine hundred twenty".