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47372873120496 = 243271189229720899
BaseRepresentation
bin10101100010101110110110…
…10001100011101011110000
320012201210122222110002200200
422301113123101203223300
522202124121004323441
6244430444130515200
712656401646405550
oct1261273321435360
9205653588402620
1047372873120496
11141047a4960730
12539121b435b00
132058320488521
14b9ac05c85160
1557242556a7b6
hex2b15db463af0

47372873120496 has 480 divisors, whose sum is σ = 167230350144000. Its totient is φ = 12160509419520.

The previous prime is 47372873120471. The next prime is 47372873120501. The reversal of 47372873120496 is 69402137827374.

47372873120496 is a `hidden beast` number, since 4 + 7 + 3 + 72 + 8 + 73 + 1 + 2 + 0 + 496 = 666.

It is a super-2 number, since 2×473728731204962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2266742655 + ... + 2266763553.

It is an arithmetic number, because the mean of its divisors is an integer number (348396562800).

Almost surely, 247372873120496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47372873120496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83615175072000).

47372873120496 is an abundant number, since it is smaller than the sum of its proper divisors (119857477023504).

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

47372873120496 is a wasteful number, since it uses less digits than its factorization.

47372873120496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23317 (or 23308 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 47372873120496 in words is "forty-seven trillion, three hundred seventy-two billion, eight hundred seventy-three million, one hundred twenty thousand, four hundred ninety-six".