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47413876440 = 23357372236841
BaseRepresentation
bin101100001010000101…
…100101011011011000
311112101100120111000210
4230022011211123120
51234100423021230
633440455531120
73265650204630
oct541205453330
9145340514023
1047413876440
1119120996157
129232989aa0
134618047bb8
14241b0a16c0
151377805eb0
hexb0a1656d8

47413876440 has 256 divisors, whose sum is σ = 167728619520. Its totient is φ = 10495733760.

The previous prime is 47413876423. The next prime is 47413876457. The reversal of 47413876440 is 4467831474.

It is an interprime number because it is at equal distance from previous prime (47413876423) and next prime (47413876457).

It is a self number, because there is not a number n which added to its sum of digits gives 47413876440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6927420 + ... + 6934260.

It is an arithmetic number, because the mean of its divisors is an integer number (655189920).

Almost surely, 247413876440 is an apocalyptic number.

47413876440 is a gapful number since it is divisible by the number (40) 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 47413876440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83864309760).

47413876440 is an abundant number, since it is smaller than the sum of its proper divisors (120314743080).

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

47413876440 is a wasteful number, since it uses less digits than its factorization.

47413876440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 47413876440 in words is "forty-seven billion, four hundred thirteen million, eight hundred seventy-six thousand, four hundred forty".