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23681839104000 = 2153653711103
BaseRepresentation
bin1010110001001110110111…
…00110111000000000000000
310002211221222002022002000000
411120213123212320000000
511101000401302312000
6122211141532000000
74662646023026610
oct530473346700000
9102757862262000
1023681839104000
117600458876450
1227a5848000000
13102a259907a5c
145bc2c8508a40
152b10440e6000
hex1589db9b8000

23681839104000 has 3584 divisors, whose sum is σ = 111563629931520. Its totient is φ = 4873125888000.

The previous prime is 23681839103957. The next prime is 23681839104023. The reversal of 23681839104000 is 40193818632.

23681839104000 is a `hidden beast` number, since 2 + 3 + 6 + 81 + 83 + 91 + 0 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 229920767949 + ... + 229920768051.

Almost surely, 223681839104000 is an apocalyptic number.

23681839104000 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 23681839104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55781814965760).

23681839104000 is an abundant number, since it is smaller than the sum of its proper divisors (87881790827520).

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

23681839104000 is an frugal number, since it uses more digits than its factorization.

23681839104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 23681839104000 in words is "twenty-three trillion, six hundred eighty-one billion, eight hundred thirty-nine million, one hundred four thousand".