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47022456096 = 25337116111587
BaseRepresentation
bin101011110010110000…
…011011110100100000
311111101002001021021000
4223302300123310200
51232300222043341
633333554232000
73253155165510
oct536260336440
9144332037230
1047022456096
1118a3aa50270
129143885600
134584c1b825
1423c10d1840
1513532898b6
hexaf2c1bd20

47022456096 has 384 divisors, whose sum is σ = 173808875520. Its totient is φ = 12012364800.

The previous prime is 47022456073. The next prime is 47022456097. The reversal of 47022456096 is 69065422074.

It is a super-2 number, since 2×470224560962 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47022456097) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4052415 + ... + 4064001.

It is an arithmetic number, because the mean of its divisors is an integer number (452627280).

Almost surely, 247022456096 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 47022456096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86904437760).

47022456096 is an abundant number, since it is smaller than the sum of its proper divisors (126786419424).

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

47022456096 is a wasteful number, since it uses less digits than its factorization.

47022456096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11685 (or 11671 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 47022456096 in words is "forty-seven billion, twenty-two million, four hundred fifty-six thousand, ninety-six".