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437001134348857 = 133113119963165921
BaseRepresentation
bin110001101011100110100000…
…1011000010001101000111001
32010022021220022102101202002211
41203113031001120101220321
5424234311310343130412
64145231314420455121
7161022201330365431
oct14327150130215071
92108256272352084
10437001134348857
1111727315a820091
12410198b784a4a1
13159ac051301860
1479cad7974b2c1
15357c607ec4ca7
hex18d7341611a39

437001134348857 has 64 divisors (see below), whose sum is σ = 492753132748800. Its totient is φ = 384829885440000.

The previous prime is 437001134348843. The next prime is 437001134348903. The reversal of 437001134348857 is 758843431100734.

It is not a de Polignac number, because 437001134348857 - 211 = 437001134346809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (437001134348837) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6629131257 + ... + 6629197177.

It is an arithmetic number, because the mean of its divisors is an integer number (7699267699200).

Almost surely, 2437001134348857 is an apocalyptic number.

It is an amenable number.

437001134348857 is a deficient number, since it is larger than the sum of its proper divisors (55751998399943).

437001134348857 is a wasteful number, since it uses less digits than its factorization.

437001134348857 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66926.

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 437001134348857 in words is "four hundred thirty-seven trillion, one billion, one hundred thirty-four million, three hundred forty-eight thousand, eight hundred fifty-seven".

Divisors: 1 13 31 131 199 403 631 1703 2587 4061 6169 8203 19561 26069 52793 65921 80197 82661 125569 254293 338897 808139 856973 1074593 1632397 2043551 2562491 3892639 8635651 10505807 13118279 16449539 26566163 33312383 41596151 50604307 112263463 170537627 213844007 267705181 406666649 509935709 540749963 1289480681 1718494549 3480167353 5286666437 5449095781 6629164217 8277634049 16763248853 22340429137 53273331019 70838245153 107609242637 168921969211 256606655519 692553303247 1084370060419 2195985599743 3335886521747 14096810785447 33615471872989 437001134348857