Search a number
-
+
2132269696760 = 235723714663349
BaseRepresentation
bin11111000001110101001…
…011011000011011111000
321112211202112121122012212
4133001311023120123320
5234413342020244020
64311315015354252
7310023426243110
oct37016513303370
97484675548185
102132269696760
11752321723765
122a52b8982988
131260c2731028
14752b957a040
153a6ea228cc5
hex1f0752d86f8

2132269696760 has 128 divisors (see below), whose sum is σ = 5801953536000. Its totient is φ = 689429368320.

The previous prime is 2132269696741. The next prime is 2132269696787. The reversal of 2132269696760 is 676969622312.

It is a self number, because there is not a number n which added to its sum of digits gives 2132269696760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874435 + ... + 2788914.

It is an arithmetic number, because the mean of its divisors is an integer number (45327762000).

Almost surely, 22132269696760 is an apocalyptic number.

2132269696760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132269696760 is an abundant number, since it is smaller than the sum of its proper divisors (3669683839240).

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

2132269696760 is a wasteful number, since it uses less digits than its factorization.

2132269696760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4663461 (or 4663457 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 59.

The spelling of 2132269696760 in words is "two trillion, one hundred thirty-two billion, two hundred sixty-nine million, six hundred ninety-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 71 92 115 140 142 161 184 230 280 284 322 355 460 497 568 644 710 805 920 994 1288 1420 1610 1633 1988 2485 2840 3220 3266 3976 4970 6440 6532 8165 9940 11431 13064 16330 19880 22862 32660 45724 57155 65320 91448 114310 228620 457240 4663349 9326698 18653396 23316745 32643443 37306792 46633490 65286886 93266980 107257027 130573772 163217215 186533960 214514054 261147544 326434430 331097779 429028108 536285135 652868860 662195558 750799189 858056216 1072570270 1305737720 1324391116 1501598378 1655488895 2145140540 2317684453 2648782232 3003196756 3310977790 3753995945 4290281080 4635368906 6006393512 6621955580 7507991890 7615248917 9270737812 11588422265 13243911160 15015983780 15230497834 18541475624 23176844530 30031967560 30460995668 38076244585 46353689060 53306742419 60921991336 76152489170 92707378120 106613484838 152304978340 213226969676 266533712095 304609956680 426453939352 533067424190 1066134848380 2132269696760