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20034415167437 = 112337127131197653
BaseRepresentation
bin1001000111000101000000…
…01100110000011111001101
32121221021022211200011010202
410203202200030300133031
510111220440240324222
6110335403330343245
74135303325066666
oct443424014603715
977837284604122
1020034415167437
11642460307a780
1222b697912ab25
13b243112bc738
144d3956c0c36d
1524b21b3e2892
hex1238a03307cd

20034415167437 has 128 divisors (see below), whose sum is σ = 23944342929408. Its totient is φ = 16578405043200.

The previous prime is 20034415167421. The next prime is 20034415167451. The reversal of 20034415167437 is 73476151443002.

It is not a de Polignac number, because 20034415167437 - 24 = 20034415167421 is a prime.

It is a super-2 number, since 2×200344151674372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20034415167391 and 20034415167400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20034415164437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30680574203 + ... + 30680574855.

It is an arithmetic number, because the mean of its divisors is an integer number (187065179136).

Almost surely, 220034415167437 is an apocalyptic number.

It is an amenable number.

20034415167437 is a deficient number, since it is larger than the sum of its proper divisors (3909927761971).

20034415167437 is a wasteful number, since it uses less digits than its factorization.

20034415167437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 20034415167437 in words is "twenty trillion, thirty-four billion, four hundred fifteen million, one hundred sixty-seven thousand, four hundred thirty-seven".

Divisors: 1 11 23 37 127 131 197 253 407 653 851 1397 1441 2167 2921 3013 4531 4699 4847 7183 7289 9361 15019 16637 24161 25019 25807 32131 33143 49841 51689 53317 80179 82931 85543 108077 111481 128641 165209 167647 183007 265771 275209 283877 382651 555703 575437 593561 615569 912241 925703 940973 954859 1188847 1226291 1415051 1844117 1907413 1967489 2958743 3068447 3165091 3277489 4209161 4759717 6112733 6329807 6529171 6771259 10182733 10503449 10863961 14158087 16337407 16851971 20981543 21291169 21642379 21961757 32546173 33752917 34816001 36052379 52356887 70574281 72797093 75382247 109473491 119503571 121267093 155738957 179711477 185371681 234202859 241579327 249871103 375760361 387595333 401966557 604484059 623522927 776317091 800768023 829204717 1204208401 1333938023 2140200317 2748582133 2789143139 4133363971 4263548663 4421632127 6649324649 6858752197 9245230811 13903133357 14341027321 23542203487 30680574529 49224607291 79187411729 101697538921 152934466927 157751300531 541470680201 871061529019 1821310469767 20034415167437