Search a number
-
+
23426564040 = 2334511657311
BaseRepresentation
bin10101110100010101…
…001111111111001000
32020110122012202110000
4111310111033333020
5340434200022130
614432332323000
71456350336345
oct256425177710
966418182400
1023426564040
119a31759330
124659613460
132294571819
1411c34097cc
159219be260
hex57454ffc8

23426564040 has 160 divisors (see below), whose sum is σ = 85897532160. Its totient is φ = 5679158400.

The previous prime is 23426564039. The next prime is 23426564047. The reversal of 23426564040 is 4046562432.

23426564040 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 6 + 5 + 640 + 4 + 0 = 666.

It is a super-2 number, since 2×234265640402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23426563986 and 23426564004.

It is not an unprimeable number, because it can be changed into a prime (23426564047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293016 + ... + 364295.

It is an arithmetic number, because the mean of its divisors is an integer number (536859576).

Almost surely, 223426564040 is an apocalyptic number.

23426564040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23426564040 is an abundant number, since it is smaller than the sum of its proper divisors (62470968120).

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

23426564040 is a wasteful number, since it uses less digits than its factorization.

23426564040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657345 (or 657332 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 23426564040 in words is "twenty-three billion, four hundred twenty-six million, five hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 657311 1314622 1971933 2629244 3286555 3943866 5258488 5915799 6573110 7230421 7887732 9859665 11831598 13146220 14460842 15775464 17747397 19719330 21691263 23663196 26292440 28921684 29578995 35494794 36152105 39438660 43382526 47326392 53242191 57843368 59157990 65073789 70989588 72304210 78877320 86765052 88736985 106484382 108456315 118315980 130147578 141979176 144608420 173530104 177473970 195221367 212968764 216912630 236631960 260295156 266210955 289216840 325368945 354947940 390442734 425937528 433825260 520590312 532421910 585664101 650737890 709895880 780885468 867650520 976106835 1064843820 1171328202 1301475780 1561770936 1952213670 2129687640 2342656404 2602951560 2928320505 3904427340 4685312808 5856641010 7808854680 11713282020 23426564040