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2269678972704 = 2531113165332093
BaseRepresentation
bin100001000001110011011…
…010001010111100100000
322000222102211102002200020
4201001303122022330200
5244141300304111304
64454402013153440
7322656521644053
oct41016332127440
98028384362606
102269678972704
117a5624678540
12307a66a8b880
1313605064a1c0
147bbd2a9ca9a
153e08d79d5d9
hex2107368af20

2269678972704 has 96 divisors (see below), whose sum is σ = 6999499531584. Its totient is φ = 634875233280.

The previous prime is 2269678972607. The next prime is 2269678972747. The reversal of 2269678972704 is 4072798769622.

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

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 15 ways as a sum of consecutive naturals, for example, 82652319 + ... + 82679774.

It is an arithmetic number, because the mean of its divisors is an integer number (72911453454).

Almost surely, 22269678972704 is an apocalyptic number.

2269678972704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2269678972704 is an abundant number, since it is smaller than the sum of its proper divisors (4729820558880).

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

2269678972704 is a wasteful number, since it uses less digits than its factorization.

2269678972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165332130 (or 165332122 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 69.

The spelling of 2269678972704 in words is "two trillion, two hundred sixty-nine billion, six hundred seventy-eight million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 165332093 330664186 495996279 661328372 991992558 1322656744 1818653023 1983985116 2149317209 2645313488 3637306046 3967970232 4298634418 5290626976 5455959069 6447951627 7274612092 7935940464 8597268836 10911918138 12895903254 14549224184 15871880928 17194537672 21823836276 23642489299 25791806508 29098448368 34389075344 43647672552 47284978598 51583613016 58196896736 68778150688 70927467897 87295345104 94569957196 103167226032 141854935794 174590690208 189139914392 206334452064 283709871588 378279828784 567419743176 756559657568 1134839486352 2269678972704