Search a number
-
+
21127153838640 = 2435296149762469
BaseRepresentation
bin1001100110111000011000…
…11111111110101000110000
32202210201212200021012100220
410303130030133332220300
510232121402340314030
6112533402552413040
74310246365410513
oct463341437765060
982721780235326
1021127153838640
116805a80615993
1224527010a7180
13ba33888b3a45
145307b9b70d7a
15269874658a10
hex13370c7fea30

21127153838640 has 160 divisors (see below), whose sum is σ = 68863296484800. Its totient is φ = 5350460559360.

The previous prime is 21127153838507. The next prime is 21127153838663. The reversal of 21127153838640 is 4683835172112.

21127153838640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 24456675 + ... + 25305794.

It is an arithmetic number, because the mean of its divisors is an integer number (430395603030).

Almost surely, 221127153838640 is an apocalyptic number.

21127153838640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21127153838640 is an abundant number, since it is smaller than the sum of its proper divisors (47736142646160).

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

21127153838640 is a wasteful number, since it uses less digits than its factorization.

21127153838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49762575 (or 49762569 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 21127153838640 in words is "twenty-one trillion, one hundred twenty-seven billion, one hundred fifty-three million, eight hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 61 80 87 116 120 122 145 174 183 232 240 244 290 305 348 366 435 464 488 580 610 696 732 870 915 976 1160 1220 1392 1464 1740 1769 1830 2320 2440 2928 3480 3538 3660 4880 5307 6960 7076 7320 8845 10614 14152 14640 17690 21228 26535 28304 35380 42456 53070 70760 84912 106140 141520 212280 424560 49762469 99524938 149287407 199049876 248812345 298574814 398099752 497624690 597149628 746437035 796199504 995249380 1194299256 1443111601 1492874070 1990498760 2388598512 2886223202 2985748140 3035510609 3980997520 4329334803 5772446404 5971496280 6071021218 7215558005 8658669606 9106531827 11544892808 11942992560 12142042436 14431116010 15177553045 17317339212 18213063654 21646674015 23089785616 24284084872 28862232020 30355106090 34634678424 36426127308 43293348030 45532659135 48568169744 57724464040 60710212180 69269356848 72852254616 86586696060 88029807661 91065318270 115448928080 121420424360 145704509232 173173392120 176059615322 182130636540 242840848720 264089422983 346346784240 352119230644 364261273080 440149038305 528178845966 704238461288 728522546160 880298076610 1056357691932 1320447114915 1408476922576 1760596153220 2112715383864 2640894229830 3521192306440 4225430767728 5281788459660 7042384612880 10563576919320 21127153838640