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4941376837920 = 2534517151148531
BaseRepresentation
bin100011111101000000100…
…0000101101100100100000
3122111101120001021221020000
41013322001000231210200
51121424414432303140
614302012010420000
71020000632051145
oct107720100554440
918441501257200
104941376837920
111635698449186
12679809131600
1329ac7b966093
14131241ad63cc
158880acdaa30
hex47e8102d920

4941376837920 has 480 divisors, whose sum is σ = 18587170901376. Its totient is φ = 1231967232000.

The previous prime is 4941376837871. The next prime is 4941376837949. The reversal of 4941376837920 is 297386731494.

4941376837920 is a `hidden beast` number, since 4 + 9 + 413 + 76 + 83 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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, 33194055 + ... + 33342585.

Almost surely, 24941376837920 is an apocalyptic number.

4941376837920 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 4941376837920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9293585450688).

4941376837920 is an abundant number, since it is smaller than the sum of its proper divisors (13645794063456).

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

4941376837920 is a wasteful number, since it uses less digits than its factorization.

4941376837920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148726 (or 148709 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 4941376837920 in words is "four trillion, nine hundred forty-one billion, three hundred seventy-six million, eight hundred thirty-seven thousand, nine hundred twenty".