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20413526414316 = 22372593709158647
BaseRepresentation
bin1001010010000111001001…
…11111011001001111101100
32200021111212202100220210120
410221003210333121033230
510133423400230224231
6111225502232204540
74204554133400100
oct451034477311754
980244782326716
1020413526414316
116560367532742
122358340839750
13b50cab096a19
1450803ca59900
15256009015d96
hex1290e4fd93ec

20413526414316 has 144 divisors (see below), whose sum is σ = 56362811500800. Its totient is φ = 5731999281792.

The previous prime is 20413526414287. The next prime is 20413526414321. The reversal of 20413526414316 is 61341462531402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128593305 + ... + 128751951.

It is an arithmetic number, because the mean of its divisors is an integer number (391408413200).

Almost surely, 220413526414316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20413526414316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28181405750400).

20413526414316 is an abundant number, since it is smaller than the sum of its proper divisors (35949285086484).

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

20413526414316 is a wasteful number, since it uses less digits than its factorization.

20413526414316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162436 (or 162427 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 20413526414316 its reverse (61341462531402), we get a palindrome (81754988945718).

The spelling of 20413526414316 in words is "twenty trillion, four hundred thirteen billion, five hundred twenty-six million, four hundred fourteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 3709 4956 5782 7418 8673 11127 11564 14836 17346 22254 25963 34692 44508 51926 77889 103852 155778 158647 181741 218831 311556 317294 363482 437662 475941 545223 634588 656493 726964 875324 951882 1090446 1110529 1312986 1531817 1903764 2180892 2221058 2625972 3063634 3331587 4442116 4595451 6127268 6663174 7773703 9190902 9360173 10722719 13326348 15547406 18381804 18720346 21445438 23321109 28080519 31094812 32168157 37440692 42890876 46642218 56161038 64336314 65521211 93284436 112322076 128672628 131042422 196563633 262084844 393127266 458648477 588421723 786254532 917296954 1176843446 1375945431 1765265169 1834593908 2353686892 2751890862 3530530338 4118952061 5503781724 7061060676 8237904122 12356856183 16475808244 24713712366 28832664427 34716881657 49427424732 57665328854 69433763314 86497993281 104150644971 115330657708 138867526628 172995986562 208301289942 243018171599 345991973124 416602579884 486036343198 729054514797 972072686396 1458109029594 1701127201193 2916218059188 3402254402386 5103381603579 6804508804772 10206763207158 20413526414316