Search a number
-
+
252502803027840 = 2735251215235137
BaseRepresentation
bin111001011010011001100011…
…111000010001011110000000
31020010001000212111020110020210
4321122121203320101132000
5231044001220033342330
62253010104125434120
7104120503563542241
oct7132314370213600
91203030774213223
10252502803027840
1173500923635a52
12243a0899a0b940
13aab7bb2011431
14464d2b52b2cc8
151e2d29d9468b0
hexe5a663e11780

252502803027840 has 128 divisors (see below), whose sum is σ = 804884877436320. Its totient is φ = 67331387555840.

The previous prime is 252502803027799. The next prime is 252502803028037. The reversal of 252502803027840 is 48720308205252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 252502803027840.

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, 45614752 + ... + 50849888.

Almost surely, 2252502803027840 is an apocalyptic number.

252502803027840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252502803027840 is an abundant number, since it is smaller than the sum of its proper divisors (552382074408480).

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

252502803027840 is a wasteful number, since it uses less digits than its factorization.

252502803027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260280 (or 5260268 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 48.

The spelling of 252502803027840 in words is "two hundred fifty-two trillion, five hundred two billion, eight hundred three million, twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 25121 50242 75363 100484 125605 150726 200968 251210 301452 376815 401936 502420 602904 753630 803872 1004840 1205808 1507260 1607744 2009680 2411616 3014520 3215488 4019360 4823232 5235137 6029040 8038720 9646464 10470274 12058080 15705411 16077440 20940548 24116160 26175685 31410822 41881096 48232320 52351370 62821644 78527055 83762192 104702740 125643288 157054110 167524384 209405480 251286576 314108220 335048768 418810960 502573152 628216440 670097536 837621920 1005146304 1256432880 1675243840 2010292608 2512865760 3350487680 5025731520 10051463040 131511876577 263023753154 394535629731 526047506308 657559382885 789071259462 1052095012616 1315118765770 1578142518924 1972678148655 2104190025232 2630237531540 3156285037848 3945356297310 4208380050464 5260475063080 6312570075696 7890712594620 8416760100928 10520950126160 12625140151392 15781425189240 16833520201856 21041900252320 25250280302784 31562850378480 42083800504640 50500560605568 63125700756960 84167601009280 126251401513920 252502803027840