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18334469479680 = 2832573151144383
BaseRepresentation
bin1000010101100110100111…
…00010100101110100000000
32101220202110200221200022100
410022303103202211310000
54400342443141322210
6102554423342510400
73601423150132104
oct412632342456400
971822420850270
1018334469479680
115929672051842
122081414895400
13a2cc18bc20b3
1447557079b904
1521bdc57515c0
hex10acd38a5d00

18334469479680 has 432 divisors, whose sum is σ = 64730636845056. Its totient is φ = 4790248243200.

The previous prime is 18334469479673. The next prime is 18334469479709. The reversal of 18334469479680 is 8697496443381.

It is a happy number.

18334469479680 is a `hidden beast` number, since 1 + 8 + 3 + 3 + 446 + 94 + 7 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×183344694796802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 18334469479599 and 18334469479608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126912769 + ... + 127057151.

Almost surely, 218334469479680 is an apocalyptic number.

18334469479680 is a gapful number since it is divisible by the number (10) 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 18334469479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32365318422528).

18334469479680 is an abundant number, since it is smaller than the sum of its proper divisors (46396167365376).

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

18334469479680 is a wasteful number, since it uses less digits than its factorization.

18334469479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144634 (or 144617 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 18334469479680 in words is "eighteen trillion, three hundred thirty-four billion, four hundred sixty-nine million, four hundred seventy-nine thousand, six hundred eighty".