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45477314496 = 2632376731849
BaseRepresentation
bin101010010110101010…
…001011111111000000
311100101101120221110100
4222112222023333000
51221114143030441
632520400402400
73166653536505
oct522652137700
9140341527410
1045477314496
1118317838539
128992316400
134399a82663
1422b5bdb4ac
1512b27c4cb6
hexa96a8bfc0

45477314496 has 168 divisors, whose sum is σ = 135877960400. Its totient is φ = 14528802816.

The previous prime is 45477314479. The next prime is 45477314591. The reversal of 45477314496 is 69441377454.

45477314496 is a `hidden beast` number, since 4 + 54 + 77 + 31 + 4 + 496 = 666.

45477314496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454773144962 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1411980 + ... + 1443828.

Almost surely, 245477314496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45477314496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67938980200).

45477314496 is an abundant number, since it is smaller than the sum of its proper divisors (90400645904).

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

45477314496 is a wasteful number, since it uses less digits than its factorization.

45477314496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31971 (or 31958 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 45477314496 in words is "forty-five billion, four hundred seventy-seven million, three hundred fourteen thousand, four hundred ninety-six".