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52947406609272 = 233271734017272083
BaseRepresentation
bin11000000100111110001110…
…10111001101101101111000
320221110201111210200110200200
430002133013113031231320
523414442242042444042
6304335411450002200
714103216044266440
oct1402370727155570
9227421453613620
1052947406609272
111596396177099a
125b3168b416360
132370bc4115626
14d1094d5ad120
1561c43bed6c4c
hex3027c75cdb78

52947406609272 has 384 divisors, whose sum is σ = 165549927029760. Its totient is φ = 14975049830400.

The previous prime is 52947406609259. The next prime is 52947406609319. The reversal of 52947406609272 is 27290660474925.

52947406609272 is a `hidden beast` number, since 5 + 2 + 9 + 474 + 0 + 6 + 6 + 0 + 92 + 72 = 666.

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, 25418821143 + ... + 25418823225.

It is an arithmetic number, because the mean of its divisors is an integer number (431119601640).

Almost surely, 252947406609272 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 52947406609272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82774963514880).

52947406609272 is an abundant number, since it is smaller than the sum of its proper divisors (112602520420488).

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

52947406609272 is a wasteful number, since it uses less digits than its factorization.

52947406609272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3403 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 52947406609272 in words is "fifty-two trillion, nine hundred forty-seven billion, four hundred six million, six hundred nine thousand, two hundred seventy-two".