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1104912117904 = 24743121732
BaseRepresentation
bin10000000101000001111…
…001001111000010010000
310220121222020002012201111
4100011001321033002100
5121100330000233104
62203331205143104
7142553516020000
oct20050171170220
93817866065644
101104912117904
113966550a3971
1215a1809baa94
1380267676c0a
143b699a10000
151db1bd48404
hex10141e4f090

1104912117904 has 225 divisors, whose sum is σ = 2595576477849. Its totient is φ = 455609589120.

The previous prime is 1104912117899. The next prime is 1104912117929. The reversal of 1104912117904 is 4097112194011.

The square root of 1104912117904 is 1051148.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1005086451600 + 99825666304 = 1002540^2 + 315952^2 .

It is a super-2 number, since 2×11049121179042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6386775162 + ... + 6386775334.

Almost surely, 21104912117904 is an apocalyptic number.

1104912117904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1104912117904 is the 1051148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1104912117904

1104912117904 is an abundant number, since it is smaller than the sum of its proper divisors (1490664359945).

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

1104912117904 is an frugal number, since it uses more digits than its factorization.

1104912117904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 40.

The spelling of 1104912117904 in words is "one trillion, one hundred four billion, nine hundred twelve million, one hundred seventeen thousand, nine hundred four".