Search a number
-
+
2932205760316 = 22721926314472069
BaseRepresentation
bin101010101010110101000…
…101010010111100111100
3101101022112110110001220001
4222222311011102330330
5341020124133312231
610123011533404044
7421562535504400
oct52526505227474
911338473401801
102932205760316
11a305a5789018
123b4345939624
13183676382a91
14a1cc321b100
1551417adbb61
hex2aab5152f3c

2932205760316 has 144 divisors (see below), whose sum is σ = 6314598259200. Its totient is φ = 1184600495232.

The previous prime is 2932205760313. The next prime is 2932205760329. The reversal of 2932205760316 is 6130675022392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2932205760313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417208130 + ... + 1417210198.

It is an arithmetic number, because the mean of its divisors is an integer number (43851376800).

Almost surely, 22932205760316 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 2932205760316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157299129600).

2932205760316 is an abundant number, since it is smaller than the sum of its proper divisors (3382392498884).

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

2932205760316 is a wasteful number, since it uses less digits than its factorization.

2932205760316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The spelling of 2932205760316 in words is "two trillion, nine hundred thirty-two billion, two hundred five million, seven hundred sixty thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 263 266 526 532 931 1052 1447 1841 1862 2069 2894 3682 3724 4138 4997 5788 7364 8276 9994 10129 12887 14483 19988 20258 25774 27493 28966 34979 39311 40516 51548 54986 57932 69958 70903 78622 101381 109972 139916 141806 157244 192451 202762 244853 275177 283612 380561 384902 405524 489706 544147 550354 761122 769804 979412 1088294 1100708 1347157 1522244 1926239 2176588 2663927 2694314 2993843 3809029 3852478 5327854 5388628 5987686 7230659 7618058 7704956 10338793 10655708 11975372 14461318 15236116 18647489 20677586 20956901 26663203 28922636 37294978 41355172 41913802 50614613 53326406 56883017 72371551 74589956 83827604 101229226 106652812 113766034 144743102 146698307 202458452 227532068 289486204 293396614 354302291 398181119 506600857 586793228 708604582 787380709 796362238 1013201714 1417209164 1574761418 1592724476 2026403428 2787267833 3149522836 5511664963 5574535666 11023329926 11149071332 14960233471 22046659852 29920466942 38581654741 59840933884 77163309482 104721634297 154326618964 209443268594 418886537188 733051440079 1466102880158 2932205760316