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45372408064 = 28133132
BaseRepresentation
bin101010010000011010…
…000000000100000000
311100010002012010212221
4222100122000010000
51220410314024224
632502132100424
73164241051034
oct522032000400
9140102163787
1045372408064
11182735a5805
128963164714
134381111849
1422a5cd01c4
1512a84a16e4
hexa90680100

45372408064 has 27 divisors (see below), whose sum is σ = 90574383613. Its totient is φ = 22684499968.

The previous prime is 45372408061. The next prime is 45372408089. The reversal of 45372408064 is 46080427354.

The square root of 45372408064 is 213008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15997190400 + 29375217664 = 126480^2 + 171392^2 .

It is a super-2 number, since 2×453724080642 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45372408064.

It is not an unprimeable number, because it can be changed into a prime (45372408061) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3401472 + ... + 3414784.

Almost surely, 245372408064 is an apocalyptic number.

45372408064 is the 213008-th square number.

It is an amenable number.

45372408064 is a deficient number, since it is larger than the sum of its proper divisors (45201975549).

45372408064 is an frugal number, since it uses more digits than its factorization.

45372408064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26642 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

The spelling of 45372408064 in words is "forty-five billion, three hundred seventy-two million, four hundred eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 13313 26626 53252 106504 213008 426016 852032 1704064 3408128 177235969 354471938 708943876 1417887752 2835775504 5671551008 11343102016 22686204032 45372408064