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53912228400 = 243352411091117
BaseRepresentation
bin110010001101011010…
…110101001000110000
312011011020100222002000
4302031122311020300
51340403012302100
640433354054000
73615665244312
oct621532651060
9164136328060
1053912228400
1120956058168
12a54711a300
13511243c884
1428761577b2
15160807d900
hexc8d6b5230

53912228400 has 480 divisors, whose sum is σ = 198548750400. Its totient is φ = 13884825600.

The previous prime is 53912228399. The next prime is 53912228417. The reversal of 53912228400 is 482221935.

It is a happy number.

53912228400 is a `hidden beast` number, since 5 + 391 + 2 + 228 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 48264642 + ... + 48265758.

It is an arithmetic number, because the mean of its divisors is an integer number (413643230).

Almost surely, 253912228400 is an apocalyptic number.

53912228400 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 53912228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99274375200).

53912228400 is an abundant number, since it is smaller than the sum of its proper divisors (144636522000).

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

53912228400 is a wasteful number, since it uses less digits than its factorization.

53912228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 53912228400 in words is "fifty-three billion, nine hundred twelve million, two hundred twenty-eight thousand, four hundred".