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55297862400 = 2835211436089
BaseRepresentation
bin110011100000000000…
…100110101100000000
312021201210200110120210
4303200000212230000
51401222223044100
641223053034120
73665222034504
oct634000465400
9167653613523
1055297862400
11214a7224530
12a873185940
1352a352b451
1429681aa304
151689a36c50
hexce0026b00

55297862400 has 432 divisors, whose sum is σ = 203748209280. Its totient is φ = 13091635200.

The previous prime is 55297862387. The next prime is 55297862407. The reversal of 55297862400 is 426879255.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55297862400.

It is not an unprimeable number, because it can be changed into a prime (55297862407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9078556 + ... + 9084644.

Almost surely, 255297862400 is an apocalyptic number.

55297862400 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 55297862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101874104640).

55297862400 is an abundant number, since it is smaller than the sum of its proper divisors (148450346880).

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

55297862400 is a wasteful number, since it uses less digits than its factorization.

55297862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 55297862400 in words is "fifty-five billion, two hundred ninety-seven million, eight hundred sixty-two thousand, four hundred".