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56121451776 = 2833136191009
BaseRepresentation
bin110100010001000110…
…010110010100000000
312100212012102010211000
4310101012112110000
51404414042424101
641440513252000
74024512316635
oct642106262400
9170765363730
1056121451776
112188a107405
12aa62b64000
1353a5050440
142a0571618c
1516d6ebd486
hexd11196500

56121451776 has 288 divisors, whose sum is σ = 179193392000. Its totient is φ = 17223155712.

The previous prime is 56121451753. The next prime is 56121451817. The reversal of 56121451776 is 67715412165.

56121451776 is a `hidden beast` number, since 5 + 6 + 121 + 4 + 517 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55620360 + ... + 55621368.

Almost surely, 256121451776 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 56121451776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89596696000).

56121451776 is an abundant number, since it is smaller than the sum of its proper divisors (123071940224).

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

56121451776 is a wasteful number, since it uses less digits than its factorization.

56121451776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1646 counting only the distinct ones).

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

The spelling of 56121451776 in words is "fifty-six billion, one hundred twenty-one million, four hundred fifty-one thousand, seven hundred seventy-six".