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43815106012804 = 2272431210972
BaseRepresentation
bin10011111011001011111111…
…10101000110011010000100
312202010200110001221222122221
421331211333311012122010
521220331314114402204
6233104214250302124
712141352113066400
oct1175457765063204
9182120401858587
1043815106012804
1112a629780a5545
124ab77b2427944
131b5a99285a639
14ab693ba76100
1550eae8a08654
hex27d97fd46684

43815106012804 has 81 divisors (see below), whose sum is σ = 89484037968549. Its totient is φ = 18717256568640.

The previous prime is 43815106012793. The next prime is 43815106012807. The reversal of 43815106012804 is 40821060151834.

The square root of 43815106012804 is 6619298.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12460123412100 + 31354982600704 = 3529890^2 + 5599552^2 .

It is a super-2 number, since 2×438151060128042 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (43815106012807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39940843584 + ... + 39940844680.

Almost surely, 243815106012804 is an apocalyptic number.

43815106012804 is the 6619298-th square number.

It is an amenable number.

43815106012804 is an abundant number, since it is smaller than the sum of its proper divisors (45668931955745).

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

43815106012804 is an frugal number, since it uses more digits than its factorization.

43815106012804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 43815106012804 in words is "forty-three trillion, eight hundred fifteen billion, one hundred six million, twelve thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 431 862 1097 1724 2194 3017 4388 6034 7679 12068 15358 21119 30716 42238 53753 84476 107506 185761 215012 371522 472807 743044 945614 1203409 1300327 1891228 2406818 2600654 3309649 4813636 5201308 6619298 8423863 9102289 13238596 16847726 18204578 23167543 33695452 36409156 46335086 58967041 92670172 117934082 203779817 235868164 407559634 518669279 815119268 1037338558 1426458719 2074677116 2852917438 3630684953 5705834876 7261369906 9985211033 14522739812 19970422066 25414794671 39940844132 50829589342 101659178684 223546459249 447092918498 894185836996 1564825214743 3129650429486 6259300858972 10953776503201 21907553006402 43815106012804