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57238159440 = 24357112312293
BaseRepresentation
bin110101010011101010…
…010000000001010000
312110202000200202202010
4311103222100001100
51414210432100230
642143404222520
74064262220260
oct652352200120
9173660622663
1057238159440
11223024a3400
12b114b3aa40
135522500ac7
142aadb637a0
1517500549b0
hexd53a90050

57238159440 has 720 divisors, whose sum is σ = 231105958272. Its totient is φ = 11470694400.

The previous prime is 57238159439. The next prime is 57238159477. The reversal of 57238159440 is 4495183275.

It is a super-2 number, since 2×572381594402 (a number of 22 digits) contains 22 as substring.

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 57238159440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195351934 + ... + 195352226.

Almost surely, 257238159440 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 57238159440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115552979136).

57238159440 is an abundant number, since it is smaller than the sum of its proper divisors (173867798832).

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

57238159440 is a wasteful number, since it uses less digits than its factorization.

57238159440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 352 counting only the distinct ones).

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

The spelling of 57238159440 in words is "fifty-seven billion, two hundred thirty-eight million, one hundred fifty-nine thousand, four hundred forty".