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1074385663568 = 24721972125783
BaseRepresentation
bin11111010001001100110…
…00000011011001010000
310210201011210011122202122
433220212120003121100
5120100320212213233
62141322125233412
7140423164313600
oct17504630033120
93721153148678
101074385663568
1138470a774a08
12154281702868
137a4111c6899
143a0016c4c00
151ce31dccd98
hexfa26603650

1074385663568 has 60 divisors (see below), whose sum is σ = 2548925206560. Its totient is φ = 436216729536.

The previous prime is 1074385663553. The next prime is 1074385663649. The reversal of 1074385663568 is 8653665834701.

It is a super-3 number, since 3×10743856635683 (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1074385663568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36047996 + ... + 36077787.

It is an arithmetic number, because the mean of its divisors is an integer number (42482086776).

Almost surely, 21074385663568 is an apocalyptic number.

It is an amenable number.

1074385663568 is an abundant number, since it is smaller than the sum of its proper divisors (1474539542992).

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

1074385663568 is a wasteful number, since it uses less digits than its factorization.

1074385663568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72125824 (or 72125811 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 62.

The spelling of 1074385663568 in words is "one trillion, seventy-four billion, three hundred eighty-five million, six hundred sixty-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 784 931 1064 1862 2128 3724 7448 14896 72125783 144251566 288503132 504880481 577006264 1009760962 1154012528 1370389877 2019521924 2740779754 3534163367 4039043848 5481559508 7068326734 8078087696 9592729139 10963119016 14136653468 19185458278 21926238032 28273306936 38370916556 56546613872 67149103973 76741833112 134298207946 153483666224 268596415892 537192831784 1074385663568