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993283903546864 = 243710799715727973
BaseRepresentation
bin1110000111011000101110111…
…0001110110110010111110000
311211020221000101001210210120221
43201312023232032312113300
52020142430413301444424
613440312154220142424
7416135252043244066
oct34166135616662760
94736830331723527
10993283903546864
11268544379770066
12934a10a9697a14
1333831368803477
141373d2a9b04036
1579c78d90b19e4
hex38762ee3b65f0

993283903546864 has 80 divisors (see below), whose sum is σ = 1996973812647648. Its totient is φ = 478222955099136.

The previous prime is 993283903546859. The next prime is 993283903546871. The reversal of 993283903546864 is 468645309382399.

It is a super-2 number, since 2×9932839035468642 (a number of 31 digits) contains 22 as substring.

It is a congruent number.

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, 55289982 + ... + 71017954.

Almost surely, 2993283903546864 is an apocalyptic number.

It is an amenable number.

993283903546864 is an abundant number, since it is smaller than the sum of its proper divisors (1003689909100784).

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

993283903546864 is a wasteful number, since it uses less digits than its factorization.

993283903546864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15729122 (or 15729116 counting only the distinct ones).

The product of its (nonzero) digits is 7255941120, while the sum is 79.

The spelling of 993283903546864 in words is "nine hundred ninety-three trillion, two hundred eighty-three billion, nine hundred three million, five hundred forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 37 74 107 148 214 296 428 592 856 997 1712 1994 3959 3988 7918 7976 15836 15952 31672 36889 63344 73778 106679 147556 213358 295112 426716 590224 853432 1706864 3947123 7894246 15727973 15788492 31455946 31576984 62911892 63153968 125823784 251647568 581935001 1163870002 1682893111 2327740004 3365786222 4655480008 6731572444 9310960016 13463144888 15680789081 26926289776 31361578162 62267045107 62723156324 124534090214 125446312648 249068180428 250892625296 498136360856 580189195997 996272721712 1160378391994 1677844431667 2320756783988 3355688863334 4641513567976 6711377726668 9283027135952 13422755453336 26845510906672 62080243971679 124160487943358 248320975886716 496641951773432 993283903546864