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20093436384 = 253779378493
BaseRepresentation
bin10010101101101010…
…011000000111100000
31220212100100022212120
4102231222120013200
5312122404431014
613121504024240
71310635251120
oct225552300740
956770308776
1020093436384
11858124817a
123a89302080
131b82b60a38
14d88888c80
157c9075ba9
hex4ada981e0

20093436384 has 96 divisors (see below), whose sum is σ = 61043512320. Its totient is φ = 5668296192.

The previous prime is 20093436361. The next prime is 20093436397. The reversal of 20093436384 is 48363439002.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 136159 + ... + 242334.

It is an arithmetic number, because the mean of its divisors is an integer number (635869920).

Almost surely, 220093436384 is an apocalyptic number.

20093436384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20093436384 is an abundant number, since it is smaller than the sum of its proper divisors (40950075936).

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

20093436384 is a wasteful number, since it uses less digits than its factorization.

20093436384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378592 (or 378584 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 20093436384 in words is "twenty billion, ninety-three million, four hundred thirty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 26544 53088 378493 756986 1135479 1513972 2270958 2649451 3027944 4541916 5298902 6055888 7948353 9083832 10597804 12111776 15896706 18167664 21195608 29900947 31793412 36335328 42391216 59801894 63586824 84782432 89702841 119603788 127173648 179405682 209306629 239207576 254347296 358811364 418613258 478415152 627919887 717622728 837226516 956830304 1255839774 1435245456 1674453032 2511679548 2870490912 3348906064 5023359096 6697812128 10046718192 20093436384