Search a number
-
+
45165496506 = 231329199269373
BaseRepresentation
bin101010000100000100…
…101100100010111010
311022120122211221120220
4222010010230202322
51214444331342011
632425421200510
73156146246244
oct520404544272
9138518757526
1045165496506
1118177822019
128905a00136
13434a2a7680
14228662d094
15129522e506
hexa8412c8ba

45165496506 has 128 divisors (see below), whose sum is σ = 101787840000. Its totient is φ = 13265150976.

The previous prime is 45165496501. The next prime is 45165496511. The reversal of 45165496506 is 60569456154.

It is an interprime number because it is at equal distance from previous prime (45165496501) and next prime (45165496511).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45165496501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121086936 + ... + 121087308.

It is an arithmetic number, because the mean of its divisors is an integer number (795217500).

Almost surely, 245165496506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45165496506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50893920000).

45165496506 is an abundant number, since it is smaller than the sum of its proper divisors (56622343494).

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

45165496506 is a wasteful number, since it uses less digits than its factorization.

45165496506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888.

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 45165496506 in words is "forty-five billion, one hundred sixty-five million, four hundred ninety-six thousand, five hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 199 269 373 377 398 538 597 746 754 807 1119 1131 1194 1614 2238 2262 2587 3497 4849 5174 5771 6994 7761 7801 9698 10491 10817 11542 14547 15522 15602 17313 20982 21634 23403 29094 32451 34626 46806 53531 64902 74227 75023 100337 101413 107062 140621 148454 150046 160593 200674 202826 222681 225069 281242 301011 304239 321186 421863 445362 450138 602022 608478 695903 843726 964951 1304381 1391806 1552399 1929902 2087709 2152583 2608762 2894853 2909773 3104798 3913143 4175418 4305166 4657197 5789706 5819546 6457749 7826286 8729319 9314394 12915498 17458638 19967063 20181187 27983579 37827049 39934126 40362374 55967158 59901189 60543561 75654098 83950737 113481147 119802378 121087122 167901474 226962294 259571819 519143638 579044827 778715457 1158089654 1557430914 1737134481 3474268962 7527582751 15055165502 22582748253 45165496506