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82346303071002 = 23107616032082127
BaseRepresentation
bin10010101110010010111110…
…001001001010001100011010
3101210120020012110000121202210
4102232102332021022030122
541243130212041233002
6451045211442135550
723226216104140125
oct2256227611121432
9353506173017683
1082346303071002
1124268964357853
12929b3223515b6
1336c42b90a8049
141649821cd53bc
1597c03a10d96c
hex4ae4be24a31a

82346303071002 has 32 divisors (see below), whose sum is σ = 166234567652352. Its totient is φ = 27191782680624.

The previous prime is 82346303071001. The next prime is 82346303071063. The reversal of 82346303071002 is 20017030364328.

It is a super-2 number, since 2×823463030710022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82346303071001) 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, 38508063 + ... + 40590189.

It is an arithmetic number, because the mean of its divisors is an integer number (5194830239136).

Almost surely, 282346303071002 is an apocalyptic number.

82346303071002 is an abundant number, since it is smaller than the sum of its proper divisors (83888264581350).

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

82346303071002 is a wasteful number, since it uses less digits than its factorization.

82346303071002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143842.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 82346303071002 in words is "eighty-two trillion, three hundred forty-six billion, three hundred three million, seventy-one thousand, two".

Divisors: 1 2 3 6 107 214 321 642 61603 123206 184809 369618 2082127 4164254 6246381 6591521 12492762 13183042 19774563 39549126 222787589 445575178 668362767 1336725534 128265269581 256530539162 384795808743 769591617486 13724383845167 27448767690334 41173151535501 82346303071002