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47880146832 = 24371979139683
BaseRepresentation
bin101100100101111000…
…010000111110010000
311120120211221110202120
4230211320100332100
51241024304144312
633555033414240
73313341350550
oct544570207620
9146524843676
1047880146832
1119340104a91
129342b6a380
13469082053b
142462d97160
1513a370a28c
hexb25e10f90

47880146832 has 320 divisors, whose sum is σ = 151990272000. Its totient is φ = 12685330944.

The previous prime is 47880146803. The next prime is 47880146861. The reversal of 47880146832 is 23864108874.

It is an interprime number because it is at equal distance from previous prime (47880146803) and next prime (47880146861).

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, 70102363 + ... + 70103045.

It is an arithmetic number, because the mean of its divisors is an integer number (474969600).

Almost surely, 247880146832 is an apocalyptic number.

47880146832 is a gapful number since it is divisible by the number (42) 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 47880146832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136000).

47880146832 is an abundant number, since it is smaller than the sum of its proper divisors (104110125168).

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

47880146832 is a wasteful number, since it uses less digits than its factorization.

47880146832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 47880146832 in words is "forty-seven billion, eight hundred eighty million, one hundred forty-six thousand, eight hundred thirty-two".