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6386338903904 = 253119974343541
BaseRepresentation
bin101110011101110111101…
…1101100011011101100000
3211121112020221100100001222
41130323233131203131200
51314113210224411104
621325502114314212
71226253301004531
oct134735735433540
924545227310058
106386338903904
112042481902093
1287186bb88968
133742c965ba0b
141811598d8688
15b11cb3941be
hex5ceef763760

6386338903904 has 96 divisors (see below), whose sum is σ = 13061763993600. Its totient is φ = 3070426867200.

The previous prime is 6386338903817. The next prime is 6386338903907. The reversal of 6386338903904 is 4093098336836.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6386338903907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146652374 + ... + 146695914.

It is an arithmetic number, because the mean of its divisors is an integer number (136060041600).

Almost surely, 26386338903904 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 6386338903904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530881996800).

6386338903904 is an abundant number, since it is smaller than the sum of its proper divisors (6675425089696).

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

6386338903904 is a wasteful number, since it uses less digits than its factorization.

6386338903904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44524 (or 44516 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 62.

The spelling of 6386338903904 in words is "six trillion, three hundred eighty-six billion, three hundred thirty-eight million, nine hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 398 496 743 796 992 1486 1592 2972 3184 5944 6169 6368 11888 12338 23033 23776 24676 43541 46066 49352 87082 92132 98704 147857 174164 184264 197408 295714 348328 368528 591428 696656 737056 1182856 1349771 1393312 2365712 2699542 4583567 4731424 5399084 8664659 9167134 10798168 17329318 18334268 21596336 32350963 34658636 36668536 43192672 64701926 69317272 73337072 129403852 138634544 146674144 258807704 268604429 277269088 517615408 537208858 1002879853 1035230816 1074417716 2005759706 2148835432 4011519412 4297670864 6437841637 8023038824 8595341728 12875683274 16046077648 25751366548 32092155296 51502733096 103005466192 199573090747 206010932384 399146181494 798292362988 1596584725976 3193169451952 6386338903904