Search a number
-
+
47148312960 = 2732571169353
BaseRepresentation
bin101011111010010000…
…100010100110000000
311111200211212110102100
4223322100202212000
51233024432003320
633354251550400
73256244022240
oct537220424600
9144624773370
1047148312960
1118aa4aa2401
129179a5b400
1345a5016548
1423d3ad3b20
15135e34a790
hexafa422980

47148312960 has 192 divisors, whose sum is σ = 186067608480. Its totient is φ = 10776748032.

The previous prime is 47148312859. The next prime is 47148312971. The reversal of 47148312960 is 6921384174.

47148312960 is a `hidden beast` number, since 4 + 71 + 483 + 12 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 544357 + ... + 624996.

Almost surely, 247148312960 is an apocalyptic number.

47148312960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47148312960 is an abundant number, since it is smaller than the sum of its proper divisors (138919295520).

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

47148312960 is a wasteful number, since it uses less digits than its factorization.

47148312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169385 (or 1169370 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 47148312960 in words is "forty-seven billion, one hundred forty-eight million, three hundred twelve thousand, nine hundred sixty".