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23954948640 = 253357411392
BaseRepresentation
bin10110010011110100…
…111000001000100000
32021211110110110212000
4112103310320020200
5343024431324030
615001005404000
71505424463260
oct262364701040
967743413760
1023954948640
11a182a42517
124786569600
132349b8452c
14123366d7a0
15953092860
hex593d38220

23954948640 has 576 divisors, whose sum is σ = 98868107520. Its totient is φ = 5303439360.

The previous prime is 23954948629. The next prime is 23954948657. The reversal of 23954948640 is 4684945932.

23954948640 is a `hidden beast` number, since 2 + 3 + 95 + 494 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 172337691 + ... + 172337829.

It is an arithmetic number, because the mean of its divisors is an integer number (171646020).

Almost surely, 223954948640 is an apocalyptic number.

23954948640 is a gapful number since it is divisible by the number (20) 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 23954948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49434053760).

23954948640 is an abundant number, since it is smaller than the sum of its proper divisors (74913158880).

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

23954948640 is a wasteful number, since it uses less digits than its factorization.

23954948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 23954948640 in words is "twenty-three billion, nine hundred fifty-four million, nine hundred forty-eight thousand, six hundred forty".