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20413514260020 = 2235783585585607
BaseRepresentation
bin1001010010000111001000…
…10001000001111000110100
32200021111211220111102020110
410221003210101001320310
510133423334122310040
6111225501115503020
74204553625155610
oct451034421017064
980244756442213
1020413514260020
116560360690a72
122358338757a70
13b50ca86cc72b
1450803b1b4340
15256007e14980
hex1290e4441e34

20413514260020 has 96 divisors (see below), whose sum is σ = 66110272800768. Its totient is φ = 4609729890432.

The previous prime is 20413514259991. The next prime is 20413514260039. The reversal of 20413514260020 is 2006241531402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 20413514260020.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292757944 + ... + 292827663.

It is an arithmetic number, because the mean of its divisors is an integer number (688648675008).

Almost surely, 220413514260020 is an apocalyptic number.

20413514260020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20413514260020 is an abundant number, since it is smaller than the sum of its proper divisors (45696758540748).

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

20413514260020 is a wasteful number, since it uses less digits than its factorization.

20413514260020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585585709 (or 585585707 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20413514260020 its reverse (2006241531402), we get a palindrome (22419755791422).

The spelling of 20413514260020 in words is "twenty trillion, four hundred thirteen billion, five hundred fourteen million, two hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 585585607 1171171214 1756756821 2342342428 2927928035 3513513642 4099099249 5855856070 7027027284 8198198498 8783784105 11711712140 12297297747 16396396996 17567568210 20495496245 24594595494 35135136420 40990992490 48603605381 49189190988 61486488735 81981984980 97207210762 122972977470 145810816143 194414421524 243018026905 245945954940 291621632286 340225237667 486036053810 583243264572 680450475334 729054080715 972072107620 1020675713001 1360900950668 1458108161430 1701126188335 2041351426002 2916216322860 3402252376670 4082702852004 5103378565005 6804504753340 10206757130010 20413514260020