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45292292682 = 237131910094327
BaseRepresentation
bin101010001011101000…
…011000101001001010
311022220111102212020120
4222023220120221022
51220224311331212
632450151004110
73162246064350
oct521350305112
9138814385216
1045292292682
111823235594a
128940369636
13436a640ab0
1422993d77d0
1512a142888c
hexa8ba18a4a

45292292682 has 128 divisors (see below), whose sum is σ = 117500006400. Its totient is φ = 11302695936.

The previous prime is 45292292677. The next prime is 45292292693. The reversal of 45292292682 is 28629229254.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10465203 + ... + 10469529.

It is an arithmetic number, because the mean of its divisors is an integer number (917968800).

Almost surely, 245292292682 is an apocalyptic number.

45292292682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45292292682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58750003200).

45292292682 is an abundant number, since it is smaller than the sum of its proper divisors (72207713718).

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

45292292682 is a wasteful number, since it uses less digits than its factorization.

45292292682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380.

The product of its digits is 2488320, while the sum is 51.

The spelling of 45292292682 in words is "forty-five billion, two hundred ninety-two million, two hundred ninety-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1009 1482 1729 2018 3027 3458 4327 5187 6054 7063 8654 10374 12981 13117 14126 19171 21189 25962 26234 30289 38342 39351 42378 56251 57513 60578 78702 82213 90867 91819 112502 115026 134197 164426 168753 181734 183638 246639 249223 268394 275457 337506 393757 402591 493278 498446 550914 575491 747669 787514 805182 1068769 1150982 1181271 1495338 1726473 1744561 2137538 2362542 3206307 3452946 3489122 4365943 5233683 6412614 7481383 8731886 10467366 13097829 14962766 22444149 26195658 30561601 44888298 56757259 61123202 82952917 91684803 113514518 165905834 170271777 183369606 248858751 340543554 397300813 497717502 580670419 794601626 1078387921 1161340838 1191902439 1742011257 2156775842 2383804878 3235163763 3484022514 6470327526 7548715447 15097430894 22646146341 45292292682