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1639190867468 = 2271117656347701
BaseRepresentation
bin10111110110100111011…
…000111010111000001100
312210201001000210211022012
4113312213120322320030
5203324030330224333
63253011153040352
7226266451323620
oct27664730727014
95721030724265
101639190867468
115821a4569260
122258298560b8
13bb76247894b
14594a1633180
152c98c03ce48
hex17da763ae0c

1639190867468 has 96 divisors (see below), whose sum is σ = 3787450265088. Its totient is φ = 600974208000.

The previous prime is 1639190867443. The next prime is 1639190867471. The reversal of 1639190867468 is 8647680919361.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a junction number, because it is equal to n+sod(n) for n = 1639190867398 and 1639190867407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34340018 + ... + 34387718.

It is an arithmetic number, because the mean of its divisors is an integer number (39452606928).

Almost surely, 21639190867468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1639190867468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1893725132544).

1639190867468 is an abundant number, since it is smaller than the sum of its proper divisors (2148259397620).

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

1639190867468 is a wasteful number, since it uses less digits than its factorization.

1639190867468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54303 (or 54301 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 68.

The spelling of 1639190867468 in words is "one trillion, six hundred thirty-nine billion, one hundred ninety million, eight hundred sixty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2618 5236 6563 13126 26252 45941 47701 72193 91882 95402 111571 144386 183764 190804 223142 288772 333907 446284 505351 524711 667814 780997 810917 1010702 1049422 1227281 1335628 1561994 1621834 2021404 2098844 2454562 3123988 3243668 3672977 4909124 5676419 7345954 8590967 8920087 11352838 14691908 17181934 17840174 22705676 34363868 35680348 62440609 124881218 249762436 313061663 626123326 1252246652 2191431641 3443678293 4382863282 5322048271 6887356586 8765726564 10644096542 13774713172 21288193084 24105748051 37254337897 48211496102 58542530981 74508675794 96422992204 117085061962 149017351588 234170123924 409797716867 819595433734 1639190867468