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55354790400 = 2935272133173
BaseRepresentation
bin110011100011011001…
…110001001000000000
312021212202210201010020
4303203121301020000
51401331311243100
641232445133440
73666512645400
oct634331611000
9167782721106
1055354790400
1121526377368
12a88a25a280
1352b2271060
142971988800
15168ea2e5a0
hexce3671200

55354790400 has 1440 divisors, whose sum is σ = 239707657728. Its totient is φ = 11147673600.

The previous prime is 55354790389. The next prime is 55354790417. The reversal of 55354790400 is 409745355.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 758284764 + ... + 758284836.

Almost surely, 255354790400 is an apocalyptic number.

55354790400 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 55354790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119853828864).

55354790400 is an abundant number, since it is smaller than the sum of its proper divisors (184352867328).

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

55354790400 is a wasteful number, since it uses less digits than its factorization.

55354790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 55354790400 in words is "fifty-five billion, three hundred fifty-four million, seven hundred ninety thousand, four hundred".