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57644421120 = 2123951113
BaseRepresentation
bin110101101011111000…
…000001000000000000
312111210100011000000000
4311223320001000000
51421023432433440
642252000000000
74110324331536
oct655370010000
9174710130000
1057644421120
11224a0855860
12b209000000
135588725530
142b0bab8156
151775a53730
hexd6be01000

57644421120 has 1040 divisors, whose sum is σ = 243765732672. Its totient is φ = 12899450880.

The previous prime is 57644421113. The next prime is 57644421137. The reversal of 57644421120 is 2112444675.

57644421120 is a `hidden beast` number, since 5 + 7 + 644 + 4 + 2 + 1 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4434186234 + ... + 4434186246.

Almost surely, 257644421120 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 57644421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121882866336).

57644421120 is an abundant number, since it is smaller than the sum of its proper divisors (186121311552).

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

57644421120 is an frugal number, since it uses more digits than its factorization.

57644421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 57644421120 its reverse (2112444675), we get a palindrome (59756865795).

The spelling of 57644421120 in words is "fifty-seven billion, six hundred forty-four million, four hundred twenty-one thousand, one hundred twenty".