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13945818795620 = 22543311637541
BaseRepresentation
bin1100101011110000001110…
…0100110100111001100100
31211101012121002102121000012
43022330003210310321210
53311442014102424440
645354342023505352
72636360250615425
oct312740344647144
954335532377005
1013945818795620
114497430163928
1216929625b8258
137a2114b896ba
14362da46d964c
15192b6943ce65
hexcaf03934e64

13945818795620 has 96 divisors (see below), whose sum is σ = 30013262294400. Its totient is φ = 5443192110720.

The previous prime is 13945818795599. The next prime is 13945818795637. The reversal of 13945818795620 is 2659781854931.

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, 1849329050 + ... + 1849336590.

It is an arithmetic number, because the mean of its divisors is an integer number (312638148900).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13945818795620 = 27891637591240, but 3⋅13945818795620 = 41837456386860 is not.

Almost surely, 213945818795620 is an apocalyptic number.

13945818795620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13945818795620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006631147200).

13945818795620 is an abundant number, since it is smaller than the sum of its proper divisors (16067443498780).

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

13945818795620 is an equidigital number, since it uses as much as digits as its factorization.

13945818795620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 68.

The spelling of 13945818795620 in words is "thirteen trillion, nine hundred forty-five billion, eight hundred eighteen million, seven hundred ninety-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1163 1849 2326 3698 4652 5815 7396 7541 9245 11630 15082 18490 23260 30164 36980 37705 50009 75410 79507 100018 150820 159014 200036 250045 318028 324263 397535 500090 648526 795070 1000180 1297052 1590140 1621315 2150387 3242630 4300774 6485260 8601548 8770183 10751935 13943309 17540366 21503870 27886618 35080732 43007740 43850915 55773236 69716545 87701830 92466641 139433090 175403660 184933282 278866180 369866564 377117869 462333205 599562287 754235738 924666410 1199124574 1508471476 1849332820 1885589345 2398249148 2997811435 3771178690 5995622870 7542357380 11991245740 16216068367 32432136734 64864273468 81080341835 162160683670 324321367340 697290939781 1394581879562 2789163759124 3486454698905 6972909397810 13945818795620