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45816158498320 = 2457173129975023
BaseRepresentation
bin10100110101011011001111…
…10110100010111000010000
320000012222111212020122100001
422122231213312202320100
522001122443033421240
6241235352545535344
712436052055424360
oct1232554766427020
9200188455218301
1045816158498320
1113664584058271
12517b58a944554
131c745a31776b2
14b4572a2169a0
15546bb40d389a
hex29ab67da2e10

45816158498320 has 480 divisors, whose sum is σ = 133353634535424. Its totient is φ = 14290262507520.

The previous prime is 45816158498291. The next prime is 45816158498329. The reversal of 45816158498320 is 2389485161854.

45816158498320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45816158498329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9121271329 + ... + 9121276351.

Almost surely, 245816158498320 is an apocalyptic number.

45816158498320 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 45816158498320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66676817267712).

45816158498320 is an abundant number, since it is smaller than the sum of its proper divisors (87537476037104).

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

45816158498320 is a wasteful number, since it uses less digits than its factorization.

45816158498320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6119 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 64.

The spelling of 45816158498320 in words is "forty-five trillion, eight hundred sixteen billion, one hundred fifty-eight million, four hundred ninety-eight thousand, three hundred twenty".