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45396042132 = 22376110782799
BaseRepresentation
bin101010010001110100…
…001010000110010100
311100011201122212201210
4222101310022012110
51220432341322012
632504334421420
73164645664030
oct522164120624
9140151585653
1045396042132
11182859783a1
12896b061870
134385c980bc
1422a90c31c0
1512aa5be23c
hexa91d0a194

45396042132 has 96 divisors (see below), whose sum is σ = 124192051200. Its totient is φ = 12638286720.

The previous prime is 45396042113. The next prime is 45396042151. The reversal of 45396042132 is 23124069354.

It is an interprime number because it is at equal distance from previous prime (45396042113) and next prime (45396042151).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506869 + ... + 589667.

It is an arithmetic number, because the mean of its divisors is an integer number (1293667200).

Almost surely, 245396042132 is an apocalyptic number.

45396042132 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45396042132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62096025600).

45396042132 is an abundant number, since it is smaller than the sum of its proper divisors (78796009068).

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

45396042132 is a wasteful number, since it uses less digits than its factorization.

45396042132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82981 (or 82979 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 45396042132 in words is "forty-five billion, three hundred ninety-six million, forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 107 122 183 214 244 321 366 427 428 642 732 749 854 1281 1284 1498 1708 2247 2562 2996 4494 5124 6527 8988 13054 19581 26108 39162 45689 78324 82799 91378 137067 165598 182756 248397 274134 331196 496794 548268 579593 993588 1159186 1738779 2318372 3477558 5050739 6955116 8859493 10101478 15152217 17718986 20202956 26578479 30304434 35355173 35437972 53156958 60608868 62016451 70710346 106065519 106313916 124032902 141420692 186049353 212131038 248065804 372098706 424262076 540429073 744197412 1080858146 1621287219 2161716292 3242574438 3783003511 6485148876 7566007022 11349010533 15132014044 22698021066 45396042132