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4113853355880 = 2332573156539321
BaseRepresentation
bin111011110111010100110…
…001001001011101101000
3112120021120111212102211200
4323313110301021131220
51014400132424342010
612425513402324200
7603134056365222
oct73672461113550
915507514772750
104113853355880
111346747a76014
125653611b9660
1323ac1c721778
1410317c1c3412
157202650ccc0
hex3bdd4c49768

4113853355880 has 96 divisors (see below), whose sum is σ = 13553174498760. Its totient is φ = 1081999779840.

The previous prime is 4113853355879. The next prime is 4113853355897. The reversal of 4113853355880 is 885533583114.

4113853355880 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 8 + 5 + 3 + 3 + 558 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2610635136516 + 1503218219364 = 1615746^2 + 1226058^2 .

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, 78243381 + ... + 78295940.

Almost surely, 24113853355880 is an apocalyptic number.

4113853355880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113853355880 is an abundant number, since it is smaller than the sum of its proper divisors (9439321142880).

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

4113853355880 is a wasteful number, since it uses less digits than its factorization.

4113853355880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156539411 (or 156539404 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 4113853355880 in words is "four trillion, one hundred thirteen billion, eight hundred fifty-three million, three hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 73 90 120 146 180 219 292 360 365 438 584 657 730 876 1095 1314 1460 1752 2190 2628 2920 3285 4380 5256 6570 8760 13140 26280 156539321 313078642 469617963 626157284 782696605 939235926 1252314568 1408853889 1565393210 1878471852 2348089815 2817707778 3130786420 3756943704 4696179630 5635415556 6261572840 7044269445 9392359260 11270831112 11427370433 14088538890 18784718520 22854740866 28177077780 34282111299 45709481732 56354155560 57136852165 68564222598 91418963464 102846333897 114273704330 137128445196 171410556495 205692667794 228547408660 274256890392 342821112990 411385335588 457094817320 514231669485 685642225980 822770671176 1028463338970 1371284451960 2056926677940 4113853355880