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47290156368 = 24373131741317
BaseRepresentation
bin101100000010101101…
…101000010101010000
311112001201202211222220
4230002231220111100
51233322240000433
633420320101040
73262615461000
oct540255502520
9145051684886
1047290156368
1119068073464
1291b9464780
1345c851a960
142408898000
15136ba182b3
hexb02b68550

47290156368 has 640 divisors, whose sum is σ = 166939315200. Its totient is φ = 11416043520.

The previous prime is 47290156349. The next prime is 47290156373. The reversal of 47290156368 is 86365109274.

It is a Cunningham number, because it is equal to 2174632-1.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 47290156368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 149180146 + ... + 149180462.

It is an arithmetic number, because the mean of its divisors is an integer number (260842680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅47290156368 = 94580312736, but 3⋅47290156368 = 141870469104 is not.

Almost surely, 247290156368 is an apocalyptic number.

47290156368 is a gapful number since it is divisible by the number (48) 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 47290156368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83469657600).

47290156368 is an abundant number, since it is smaller than the sum of its proper divisors (119649158832).

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

47290156368 is a wasteful number, since it uses less digits than its factorization.

47290156368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 47290156368 in words is "forty-seven billion, two hundred ninety million, one hundred fifty-six thousand, three hundred sixty-eight".