Search a number
-
+
3989944900872 = 2332773108445991
BaseRepresentation
bin111010000011111011001…
…111111001110100001000
3112010102202010020202000100
4322003323033321310020
51010332401343311442
612252542210205400
7561156361035240
oct72037317716410
915112663222010
103989944900872
1112a9142973897
12545340583860
1322c333888c38
14db185b56b20
156dbc336684c
hex3a0fb3f9d08

3989944900872 has 96 divisors (see below), whose sum is σ = 12519005316480. Its totient is φ = 1124368024320.

The previous prime is 3989944900847. The next prime is 3989944900891. The reversal of 3989944900872 is 2780094499893.

3989944900872 is a `hidden beast` number, since 3 + 98 + 99 + 449 + 0 + 0 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3989944900872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54186204 + ... + 54259787.

It is an arithmetic number, because the mean of its divisors is an integer number (130406305380).

Almost surely, 23989944900872 is an apocalyptic number.

It is an amenable number.

3989944900872 is an abundant number, since it is smaller than the sum of its proper divisors (8529060415608).

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

3989944900872 is a wasteful number, since it uses less digits than its factorization.

3989944900872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108446083 (or 108446076 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3989944900872 in words is "three trillion, nine hundred eighty-nine billion, nine hundred forty-four million, nine hundred thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 438 504 511 584 657 876 1022 1314 1533 1752 2044 2628 3066 4088 4599 5256 6132 9198 12264 18396 36792 108445991 216891982 325337973 433783964 650675946 759121937 867567928 976013919 1301351892 1518243874 1952027838 2277365811 2602703784 3036487748 3904055676 4554731622 6072975496 6832097433 7808111352 7916557343 9109463244 13664194866 15833114686 18218926488 23749672029 27328389732 31666229372 47499344058 54656779464 55415901401 63332458744 71249016087 94998688116 110831802802 142498032174 166247704203 189997376232 221663605604 284996064348 332495408406 443327211208 498743112609 569992128696 664990816812 997486225218 1329981633624 1994972450436 3989944900872