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83465522556438 = 23112313708589823
BaseRepresentation
bin10010111110100101010100…
…110100101010111000010110
3101221112020002202221102001110
4102332211110310222320112
541414444342233301223
6453303310504035450
723403120312611661
oct2276452464527026
9357466082842043
1083465522556438
112465a5905a5700
129440216762b86
1337759c393b1b9
141687a77b4c6d8
1599b1e3051d93
hex4be954d2ae16

83465522556438 has 48 divisors (see below), whose sum is σ = 189405099491328. Its totient is φ = 24476692825200.

The previous prime is 83465522556431. The next prime is 83465522556461.

83465522556438 is nontrivially palindromic in base 10.

83465522556438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83465522556431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1854272406 + ... + 1854317417.

It is an arithmetic number, because the mean of its divisors is an integer number (3945939572736).

Almost surely, 283465522556438 is an apocalyptic number.

83465522556438 is an abundant number, since it is smaller than the sum of its proper divisors (105939576934890).

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

83465522556438 is a wasteful number, since it uses less digits than its factorization.

83465522556438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708589881 (or 3708589870 counting only the distinct ones).

The product of its digits is 829440000, while the sum is 66.

The spelling of 83465522556438 in words is "eighty-three trillion, four hundred sixty-five billion, five hundred twenty-two million, five hundred fifty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 11253 22506 3708589823 7417179646 11125769469 22251538938 40794488053 81588976106 114966284513 122383464159 229932569026 244766928318 344898853539 448739368583 689797707078 897478737166 1264629129643 1346218105749 2529258259286 2692436211498 3793887388929 7587774777858 13910920426073 27821840852146 41732761278219 83465522556438