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83031444413038 = 21129359362516239
BaseRepresentation
bin10010111000010001000011…
…101111111101101001101110
3101212222201200010022222122101
4102320101003233331221232
541340341344232204123
6452332041411005314
723326552411354132
oct2270210357755156
9355881603288571
1083031444413038
112450248a822830
12939007289983a
133743aa7086084
141670a59a893c2
1598ec899c0aad
hex4b8443bfda6e

83031444413038 has 32 divisors (see below), whose sum is σ = 140946314112000. Its totient is φ = 36338627697120.

The previous prime is 83031444412997. The next prime is 83031444413039.

It is a happy number.

83031444413038 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×830314444130382 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83031444413039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181029078 + ... + 181487161.

It is an arithmetic number, because the mean of its divisors is an integer number (4404572316000).

Almost surely, 283031444413038 is an apocalyptic number.

83031444413038 is a deficient number, since it is larger than the sum of its proper divisors (57914869698962).

83031444413038 is a wasteful number, since it uses less digits than its factorization.

83031444413038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362516640.

The product of its (nonzero) digits is 1327104, while the sum is 46.

The spelling of 83031444413038 in words is "eighty-three trillion, thirty-one billion, four hundred forty-four million, four hundred thirteen thousand, thirty-eight".

Divisors: 1 2 11 22 29 58 319 359 638 718 3949 7898 10411 20822 114521 229042 362516239 725032478 3987678629 7975357258 10512970931 21025941862 115642680241 130143329801 231285360482 260286659602 1431576627811 2863153255622 3774156564229 7548313128458 41515722206519 83031444413038