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47401367640 = 23351127014657
BaseRepresentation
bin101100001001010101…
…110111100001011000
311112100111000222011220
4230021111313201120
51234034222231030
633435331452040
73265435656054
oct541125674130
9145314028156
1047401367640
1119114922100
12922a757020
134615588443
142419566c64
151376684a10
hexb09577858

47401367640 has 192 divisors, whose sum is σ = 156563578080. Its totient is φ = 11472384000.

The previous prime is 47401367581. The next prime is 47401367677. The reversal of 47401367640 is 4676310474.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47401367592 and 47401367601.

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 47 ways as a sum of consecutive naturals, for example, 10176192 + ... + 10180848.

Almost surely, 247401367640 is an apocalyptic number.

47401367640 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 47401367640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78281789040).

47401367640 is an abundant number, since it is smaller than the sum of its proper divisors (109162210440).

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

47401367640 is a wasteful number, since it uses less digits than its factorization.

47401367640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5394 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 47401367640 in words is "forty-seven billion, four hundred one million, three hundred sixty-seven thousand, six hundred forty".