Search a number
-
+
5215444113132 = 22321121171986813
BaseRepresentation
bin100101111100101000010…
…1100011001011011101100
3200110120222021020001021200
41023321100230121123230
51140422212143110012
615031535243325500
71045542365336061
oct113712054313354
920416867201250
105215444113132
111730948265520
12702955820890
132baa77c47806
14140600a56c68
15909eb9843dc
hex4be50b196ec

5215444113132 has 144 divisors (see below), whose sum is σ = 14470407544320. Its totient is φ = 1570741603200.

The previous prime is 5215444113107. The next prime is 5215444113157. The reversal of 5215444113132 is 2313114445125.

5215444113132 is a `hidden beast` number, since 5 + 2 + 1 + 54 + 441 + 131 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (5215444113107) and next prime (5215444113157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60033358 + ... + 60120170.

It is an arithmetic number, because the mean of its divisors is an integer number (100488941280).

Almost surely, 25215444113132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5215444113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235203772160).

5215444113132 is an abundant number, since it is smaller than the sum of its proper divisors (9254963431188).

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

5215444113132 is a wasteful number, since it uses less digits than its factorization.

5215444113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87764 (or 87759 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

Adding to 5215444113132 its reverse (2313114445125), we get a palindrome (7528558558257).

The spelling of 5215444113132 in words is "five trillion, two hundred fifteen billion, four hundred forty-four million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 719 844 1266 1438 1899 2157 2321 2532 2876 3798 4314 4642 6471 6963 7596 7909 8628 9284 12942 13926 15818 20889 23727 25884 27852 31636 41778 47454 71181 83556 86813 94908 142362 151709 173626 260439 284724 303418 347252 455127 520878 606836 781317 910254 954943 1041756 1365381 1562634 1668799 1820508 1909886 2730762 2864829 3125268 3337598 3819772 5006397 5461524 5729658 6675196 8594487 10012794 11459316 15019191 17188974 18317543 20025588 30038382 34377948 36635086 54952629 60076764 62418547 73270172 109905258 124837094 164857887 187255641 201492973 219810516 249674188 329715774 374511282 402985946 561766923 604478919 659431548 686604017 749022564 805971892 1123533846 1208957838 1373208034 1813436757 2059812051 2247067692 2417915676 2746416068 3626873514 4119624102 6179436153 7253747028 8239248204 12358872306 13170313417 24717744612 26340626834 39510940251 52681253668 79021880502 118532820753 144873447587 158043761004 237065641506 289746895174 434620342761 474131283012 579493790348 869240685522 1303861028283 1738481371044 2607722056566 5215444113132