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23408835072 = 293723179127
BaseRepresentation
bin10101110011010001…
…100111101000000000
32020102101212000212120
4111303101213220000
5340420130210242
614430500324240
71456043546400
oct256321475000
966371760776
1023408835072
119a2274a297
1246536a3680
1322909a4ccc
1411c0d12800
1592016b1ec
hex573467a00

23408835072 has 480 divisors, whose sum is σ = 76429393920. Its totient is φ = 6340239360.

The previous prime is 23408835071. The next prime is 23408835089. The reversal of 23408835072 is 27053880432.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23408835071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184321473 + ... + 184321599.

It is an arithmetic number, because the mean of its divisors is an integer number (159227904).

Almost surely, 223408835072 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 23408835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38214696960).

23408835072 is an abundant number, since it is smaller than the sum of its proper divisors (53020558848).

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

23408835072 is a wasteful number, since it uses less digits than its factorization.

23408835072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 23408835072 in words is "twenty-three billion, four hundred eight million, eight hundred thirty-five thousand, seventy-two".