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90729343642867 = 2371251691320339
BaseRepresentation
bin10100101000010010010010…
…010011000110110011110011
3102220020122021221211011211221
4110220102102103012303303
543343002143433032432
6520544252435045511
725052656500245446
oct2450222223066363
9386218257734757
1090729343642867
1126a0010a1a4a76
12a213b55740897
133b81981851057
1418594761b965d
15a75129b0bb97
hex5284924c6cf3

90729343642867 has 32 divisors (see below), whose sum is σ = 96529830727680. Its totient is φ = 85097789700000.

The previous prime is 90729343642807. The next prime is 90729343642943. The reversal of 90729343642867 is 76824634392709.

It is not a de Polignac number, because 90729343642867 - 27 = 90729343642739 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 90729343642796 and 90729343642805.

It is not an unprimeable number, because it can be changed into a prime (90729343642807) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283068984 + ... + 283389322.

It is an arithmetic number, because the mean of its divisors is an integer number (3016557210240).

Almost surely, 290729343642867 is an apocalyptic number.

90729343642867 is a deficient number, since it is larger than the sum of its proper divisors (5800487084813).

90729343642867 is a wasteful number, since it uses less digits than its factorization.

90729343642867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321375.

The product of its (nonzero) digits is 658409472, while the sum is 70.

The spelling of 90729343642867 in words is "ninety trillion, seven hundred twenty-nine billion, three hundred forty-three million, six hundred forty-two thousand, eight hundred sixty-seven".

Divisors: 1 23 71 251 691 1633 5773 15893 17821 49061 173441 320339 409883 1128403 3989143 7367797 12314311 22744069 80405089 221354249 283229153 523113587 1849317047 5091147727 5708761319 15716151679 55559916499 131301510337 361471488617 1277878079477 3944754071429 90729343642867