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55378638000 = 24325372112083
BaseRepresentation
bin110011100100110100…
…101111010010110000
312021221102200021212200
4303210310233102300
51401403412404000
641235100223200
74000222441050
oct634464572260
9167842607780
1055378638000
1121538885424
12a89623ab00
1352b71a086a
142974bd5560
151691b90500
hexce4d2f4b0

55378638000 has 480 divisors, whose sum is σ = 222204682752. Its totient is φ = 12591936000.

The previous prime is 55378637989. The next prime is 55378638013. The reversal of 55378638000 is 83687355.

55378638000 is a `hidden beast` number, since 5 + 5 + 3 + 7 + 8 + 638 + 0 + 0 + 0 = 666.

55378638000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26584959 + ... + 26587041.

Almost surely, 255378638000 is an apocalyptic number.

55378638000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55378638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111102341376).

55378638000 is an abundant number, since it is smaller than the sum of its proper divisors (166826044752).

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

55378638000 is a wasteful number, since it uses less digits than its factorization.

55378638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 55378638000 in words is "fifty-five billion, three hundred seventy-eight million, six hundred thirty-eight thousand".