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1642893339424 = 251719900117659
BaseRepresentation
bin10111111010000100000…
…100101110101100100000
312211001121001122220000011
4113322010010232230200
5203404121143330144
63254422413534304
7226460266654531
oct27720404565440
95731531586004
101642893339424
11583824507237
122264a17a4394
13bbc0255675c
1459733258688
152cb070e1a34
hex17e8412eb20

1642893339424 has 96 divisors (see below), whose sum is σ = 3605560257600. Its totient is φ = 732312576000.

The previous prime is 1642893339397. The next prime is 1642893339433. The reversal of 1642893339424 is 4249333982461.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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, 93025507 + ... + 93043165.

It is an arithmetic number, because the mean of its divisors is an integer number (37557919350).

Almost surely, 21642893339424 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 1642893339424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802780128800).

1642893339424 is an abundant number, since it is smaller than the sum of its proper divisors (1962666918176).

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

1642893339424 is a wasteful number, since it uses less digits than its factorization.

1642893339424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26706 (or 26698 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 58.

The spelling of 1642893339424 in words is "one trillion, six hundred forty-two billion, eight hundred ninety-three million, three hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 9001 10336 17659 18002 35318 36004 70636 72008 141272 144016 153017 171019 282544 288032 300203 306034 335521 342038 565088 600406 612068 671042 684076 1200812 1224136 1342084 1368152 2401624 2448272 2684168 2736304 2907323 4803248 4896544 5368336 5472608 5703857 5814646 9606496 10736672 11407714 11629292 22815428 23258584 45630856 46517168 91261712 93034336 158948659 182523424 317897318 635794636 1271589272 2543178544 2702127203 3020024521 5086357088 5404254406 6040049042 10808508812 12080098084 21617017624 24160196168 43234035248 48320392336 51340416857 86468070496 96640784672 102680833714 205361667428 410723334856 821446669712 1642893339424