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51445356480 = 26325717374057
BaseRepresentation
bin101111111010011000…
…011101011111000000
311220210022111212222100
4233322120131133000
51320330002401410
635344512310400
73500602213020
oct577230353700
9156708455870
1051445356480
111a8aa620841
129b78b42400
134b0b33c14b
1426c068ba80
1515116e88c0
hexbfa61d7c0

51445356480 has 672 divisors, whose sum is σ = 219966454656. Its totient is φ = 10765467648.

The previous prime is 51445356449. The next prime is 51445356481. The reversal of 51445356480 is 8465354415.

51445356480 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 5 + 3 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (51445356481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12678612 + ... + 12682668.

Almost surely, 251445356480 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 51445356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109983227328).

51445356480 is an abundant number, since it is smaller than the sum of its proper divisors (168521098176).

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

51445356480 is a wasteful number, since it uses less digits than its factorization.

51445356480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4128 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 51445356480 in words is "fifty-one billion, four hundred forty-five million, three hundred fifty-six thousand, four hundred eighty".