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23012189752320 = 2103354711812999
BaseRepresentation
bin1010011101101111100010…
…11001010100110000000000
310000110221111001220100201000
411032313301121110300000
511004012431034033240
6120535353134212000
74563401341326336
oct516676131246000
9100427431810630
1023012189752320
11737246220908a
1226b7abb954000
13cac06a385222
14597b20047b56
1529d8ee82d430
hex14edf1654c00

23012189752320 has 704 divisors, whose sum is σ = 83619786240000. Its totient is φ = 5998931804160.

The previous prime is 23012189752303. The next prime is 23012189752333. The reversal of 23012189752320 is 2325798121032.

23012189752320 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 2 + 18 + 97 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7673286181 + ... + 7673289179.

Almost surely, 223012189752320 is an apocalyptic number.

23012189752320 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 23012189752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41809893120000).

23012189752320 is an abundant number, since it is smaller than the sum of its proper divisors (60607596487680).

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

23012189752320 is a wasteful number, since it uses less digits than its factorization.

23012189752320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23012189752320 in words is "twenty-three trillion, twelve billion, one hundred eighty-nine million, seven hundred fifty-two thousand, three hundred twenty".