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56119158144 = 2732731224491
BaseRepresentation
bin110100010000111101…
…100110010110000000
312100212001002121112200
4310100331212112000
51404413001030034
641440352153200
74024453654650
oct642075462600
9170761077480
1056119158144
1121888890145
12aa62238800
1353a472946a
142a052ba360
1516d6bb8a99
hexd10f66580

56119158144 has 192 divisors, whose sum is σ = 190512890880. Its totient is φ = 15516748800.

The previous prime is 56119158097. The next prime is 56119158149. The reversal of 56119158144 is 44185191165.

56119158144 is a `hidden beast` number, since 5 + 61 + 1 + 9 + 1 + 581 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 56119158144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56119158149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137739 + ... + 362229.

It is an arithmetic number, because the mean of its divisors is an integer number (992254640).

Almost surely, 256119158144 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 56119158144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95256445440).

56119158144 is an abundant number, since it is smaller than the sum of its proper divisors (134393732736).

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

56119158144 is a wasteful number, since it uses less digits than its factorization.

56119158144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224549 (or 224534 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 56119158144 in words is "fifty-six billion, one hundred nineteen million, one hundred fifty-eight thousand, one hundred forty-four".