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19180034064 = 243438472
BaseRepresentation
bin10001110111001110…
…000001100000010000
31211111200121200110000
4101313032001200100
5303240042042224
612451114410000
71246204412442
oct216716014020
954450550400
1019180034064
1181526a1524
123873430900
131a68853ca9
14cdd440492
15773c9d0c9
hex477381810

19180034064 has 75 divisors (see below), whose sum is σ = 55527017007. Its totient is φ = 6391682784.

The previous prime is 19180034053. The next prime is 19180034147. The reversal of 19180034064 is 46043008191.

The square root of 19180034064 is 138492.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4983789 + ... + 4987635.

Almost surely, 219180034064 is an apocalyptic number.

19180034064 is the 138492-nd square number.

It is an amenable number.

19180034064 is an abundant number, since it is smaller than the sum of its proper divisors (36346982943).

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

19180034064 is an frugal number, since it uses more digits than its factorization.

19180034064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7714 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 19180034064 by its sum of digits (36), we get a square (690481226304 = 8309522).

19180034064 divided by its sum of digits (36) gives a square (532778724 = 230822).

Multiplying 19180034064 by its product of nonzero digits (20736), we get a square (397717186351104 = 199428482).

The spelling of 19180034064 in words is "nineteen billion, one hundred eighty million, thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3847 7694 11541 15388 23082 30776 34623 46164 61552 69246 92328 103869 138492 184656 207738 276984 311607 415476 553968 623214 830952 1246428 1661904 2492856 4985712 14799409 29598818 44398227 59197636 88796454 118395272 133194681 177592908 236790544 266389362 355185816 399584043 532778724 710371632 799168086 1065557448 1198752129 1598336172 2131114896 2397504258 3196672344 4795008516 6393344688 9590017032 19180034064