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51860248440 = 2335711131931733
BaseRepresentation
bin110000010011000111…
…001001011101111000
311221212020012120202020
4300103013021131320
51322202210422230
635454013034440
73514100560410
oct602307113570
9157766176666
1051860248440
111aaa2838260
12a073a85a20
134b76295b50
14271d80b640
151537d4e810
hexc131c9778

51860248440 has 1024 divisors, whose sum is σ = 227288678400. Its totient is φ = 9107251200.

The previous prime is 51860248423. The next prime is 51860248457. The reversal of 51860248440 is 4484206815.

It is an interprime number because it is at equal distance from previous prime (51860248423) and next prime (51860248457).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 51860248392 and 51860248401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70750314 + ... + 70751046.

It is an arithmetic number, because the mean of its divisors is an integer number (221961600).

Almost surely, 251860248440 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 51860248440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113644339200).

51860248440 is an abundant number, since it is smaller than the sum of its proper divisors (175428429960).

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

51860248440 is a wasteful number, since it uses less digits than its factorization.

51860248440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 51860248440 in words is "fifty-one billion, eight hundred sixty million, two hundred forty-eight thousand, four hundred forty".