Search a number
-
+
23070888422400 = 2103527213471589
BaseRepresentation
bin1010011111011100111000…
…00110111110110000000000
310000200112222212210202101210
411033232130012332300000
511010443134414004100
6121022341514330120
74600550056644300
oct517563406766000
9100615885722353
1023070888422400
11739534406a775
122707361a29940
13cb476332ccc0
1459a8cbb51600
152a01d7bcbc50
hex14fb9c1bec00

23070888422400 has 792 divisors, whose sum is σ = 95522791722960. Its totient is φ = 4867693608960.

The previous prime is 23070888422327. The next prime is 23070888422437. The reversal of 23070888422400 is 422488807032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23070888422400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48685806 + ... + 49157394.

Almost surely, 223070888422400 is an apocalyptic number.

23070888422400 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 23070888422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47761395861480).

23070888422400 is an abundant number, since it is smaller than the sum of its proper divisors (72451903300560).

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

23070888422400 is a wasteful number, since it uses less digits than its factorization.

23070888422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471649 (or 471619 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 23070888422400 in words is "twenty-three trillion, seventy billion, eight hundred eighty-eight million, four hundred twenty-two thousand, four hundred".