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5763743648 = 251321771883
BaseRepresentation
bin1010101111000101…
…11011111110100000
3112212200111111212222
411113202323332200
543301004244043
62351533010212
7262555004225
oct52742737640
915780444788
105763743648
112498534a03
12114a323968
1370b158c00
143c96ad94c
1523b01ad68
hex1578bbfa0

5763743648 has 144 divisors (see below), whose sum is σ = 13208360256. Its totient is φ = 2465648640.

The previous prime is 5763743639. The next prime is 5763743677. The reversal of 5763743648 is 8463473675.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5763743648.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6527015 + ... + 6527897.

It is an arithmetic number, because the mean of its divisors is an integer number (91724724).

Almost surely, 25763743648 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 5763743648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604180128).

5763743648 is an abundant number, since it is smaller than the sum of its proper divisors (7444616608).

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

5763743648 is a wasteful number, since it uses less digits than its factorization.

5763743648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 986 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 53.

The square root of 5763743648 is about 75919.3232846553. The cubic root of 5763743648 is about 1792.9501664145.

The spelling of 5763743648 in words is "five billion, seven hundred sixty-three million, seven hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 71 104 136 142 169 208 221 272 284 338 416 442 544 568 676 883 884 923 1136 1207 1352 1766 1768 1846 2272 2414 2704 2873 3532 3536 3692 4828 5408 5746 7064 7072 7384 9656 11479 11492 11999 14128 14768 15011 15691 19312 22958 22984 23998 28256 29536 30022 31382 38624 45916 45968 47996 60044 62693 62764 91832 91936 95992 120088 125386 125528 149227 183664 191984 195143 203983 240176 250772 251056 298454 367328 383968 390286 407966 480352 501544 502112 596908 780572 815009 815932 1003088 1065781 1193816 1561144 1630018 1631864 2006176 2131562 2387632 2536859 3122288 3260036 3263728 4263124 4775264 5073718 6244576 6520072 6527456 8526248 10147436 10595117 13040144 13855153 17052496 20294872 21190234 26080288 27710306 34104992 40589744 42380468 55420612 81179488 84760936 110841224 169521872 180116989 221682448 339043744 360233978 443364896 720467956 1440935912 2881871824 5763743648