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18893506645776 = 2437241233322301
BaseRepresentation
bin1000100101110111111001…
…10000001000111100010000
32110220012102222000011111010
410102323330300020330100
54434022400200131101
6104103320201250520
73660003464501310
oct422737460107420
973805388004433
1018893506645776
116024766a489a4
122151831193a40
13a7085b173839
1449464463d440
1522b6e42e82d6
hex112efcc08f10

18893506645776 has 80 divisors (see below), whose sum is σ = 56012285107328. Its totient is φ = 5375745792000.

The previous prime is 18893506645697. The next prime is 18893506645781. The reversal of 18893506645776 is 67754660539881.

It is a junction number, because it is equal to n+sod(n) for n = 18893506645698 and 18893506645707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116580175 + ... + 116742126.

Almost surely, 218893506645776 is an apocalyptic number.

18893506645776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18893506645776 is an abundant number, since it is smaller than the sum of its proper divisors (37118778461552).

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

18893506645776 is a wasteful number, since it uses less digits than its factorization.

18893506645776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233322560 (or 233322554 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 75.

The spelling of 18893506645776 in words is "eighteen trillion, eight hundred ninety-three billion, five hundred six million, six hundred forty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 241 336 482 723 964 1446 1687 1928 2892 3374 3856 5061 5784 6748 10122 11568 13496 20244 26992 40488 80976 233322301 466644602 699966903 933289204 1399933806 1633256107 1866578408 2799867612 3266512214 3733156816 4899768321 5599735224 6533024428 9799536642 11199470448 13066048856 19599073284 26132097712 39198146568 56230674541 78396293136 112461349082 168692023623 224922698164 337384047246 393614721787 449845396328 674768094492 787229443574 899690792656 1180844165361 1349536188984 1574458887148 2361688330722 2699072377968 3148917774296 4723376661444 6297835548592 9446753322888 18893506645776