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180368047104 = 21037113199373
BaseRepresentation
bin1010011111111011000…
…1011111110000000000
3122020120011022010221220
42213332301133300000
510423343210001404
6214505425115040
716013455050510
oct2477661376000
9566504263856
10180368047104
116a548073443
122ab58a88a80
1314015c78cbb
148a30a43840
154a59ba94d9
hex29fec5fc00

180368047104 has 352 divisors, whose sum is σ = 558565708800. Its totient is φ = 50684755968.

The previous prime is 180368047073. The next prime is 180368047117. The reversal of 180368047104 is 401740863081.

It is a super-2 number, since 2×1803680471042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483560262 + ... + 483560634.

It is an arithmetic number, because the mean of its divisors is an integer number (1586834400).

Almost surely, 2180368047104 is an apocalyptic number.

180368047104 is a gapful number since it is divisible by the number (14) 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 180368047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279282854400).

180368047104 is an abundant number, since it is smaller than the sum of its proper divisors (378197661696).

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

180368047104 is a wasteful number, since it uses less digits than its factorization.

180368047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 180368047104 in words is "one hundred eighty billion, three hundred sixty-eight million, forty-seven thousand, one hundred four".