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55692958464 = 283211413127
BaseRepresentation
bin110011110111100011…
…110001101100000000
312022202100010102111100
4303313203301230000
51403024344132324
641330205214400
74011060223203
oct636743615400
9168670112440
1055692958464
112168a250000
12a963561400
1353373438c0
1429a485593a
1516ae57c4c9
hexcf78f1b00

55692958464 has 540 divisors, whose sum is σ = 191718042880. Its totient is φ = 15455784960.

The previous prime is 55692958429. The next prime is 55692958523. The reversal of 55692958464 is 46485929655.

It is a happy number.

55692958464 is a `hidden beast` number, since 5 + 569 + 2 + 9 + 5 + 8 + 4 + 64 = 666.

55692958464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 438527169 + ... + 438527295.

Almost surely, 255692958464 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 55692958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95859021440).

55692958464 is an abundant number, since it is smaller than the sum of its proper divisors (136025084416).

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

55692958464 is a wasteful number, since it uses less digits than its factorization.

55692958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 55692958464 in words is "fifty-five billion, six hundred ninety-two million, nine hundred fifty-eight thousand, four hundred sixty-four".