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32293849313104 = 2437531029253229
BaseRepresentation
bin1110101011110111111110…
…11010101010111101010000
311020100021001212212100221221
413111323333122222331100
513213100300411004404
6152403331202454424
76542103456011101
oct725737732527520
9136307055770857
1032293849313104
11a320821047025
123756920964414
1315033b2456a02
147d90601463a8
153b00854b4954
hex1d5eff6aaf50

32293849313104 has 40 divisors (see below), whose sum is σ = 65472856466760. Its totient is φ = 15414096342528.

The previous prime is 32293849313087. The next prime is 32293849313107. The reversal of 32293849313104 is 40131394839223.

It can be written as a sum of positive squares in 4 ways, for example, as 18304364289600 + 13989485023504 = 4278360^2 + 3740252^2 .

It is a super-2 number, since 2×322938493131042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32293849313107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 514595239 + ... + 514657990.

It is an arithmetic number, because the mean of its divisors is an integer number (1636821411669).

Almost surely, 232293849313104 is an apocalyptic number.

It is an amenable number.

32293849313104 is an abundant number, since it is smaller than the sum of its proper divisors (33179007153656).

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

32293849313104 is a wasteful number, since it uses less digits than its factorization.

32293849313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029253327 (or 1029253321 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 52.

The spelling of 32293849313104 in words is "thirty-two trillion, two hundred ninety-three billion, eight hundred forty-nine million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 37 53 74 106 148 212 296 424 592 848 1961 3922 7844 15688 31376 1029253229 2058506458 4117012916 8234025832 16468051664 38082369473 54550421137 76164738946 109100842274 152329477892 218201684548 304658955784 436403369096 609317911568 872806738192 2018365582069 4036731164138 8073462328276 16146924656552 32293849313104