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56001828447488 = 28721129119311731
BaseRepresentation
bin11001011101110111100010…
…00101110110010100000000
321100021201111201020120110102
430232323301011312110000
524320013221040304423
6315034515042221532
714536666341451100
oct1456736105662400
9240251451216412
1056001828447488
1116931273215170
1263456430548a8
132532c46823261
14db8708197200
15671b093bec28
hex32eef1176500

56001828447488 has 432 divisors, whose sum is σ = 146884049645760. Its totient is φ = 21047065804800.

The previous prime is 56001828447463. The next prime is 56001828447493. The reversal of 56001828447488 is 88474482810065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4773826583 + ... + 4773838313.

It is an arithmetic number, because the mean of its divisors is an integer number (340009374180).

Almost surely, 256001828447488 is an apocalyptic number.

56001828447488 is a gapful number since it is divisible by the number (58) 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 56001828447488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73442024822880).

56001828447488 is an abundant number, since it is smaller than the sum of its proper divisors (90882221198272).

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

56001828447488 is a wasteful number, since it uses less digits than its factorization.

56001828447488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12994 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 110100480, while the sum is 65.

The spelling of 56001828447488 in words is "fifty-six trillion, one billion, eight hundred twenty-eight million, four hundred forty-seven thousand, four hundred eighty-eight".