Search a number
-
+
7127264448980 = 22513217294277197
BaseRepresentation
bin110011110110111001000…
…0100001101000111010100
3221020100201022110211110122
41213231302010031013110
51413233114144331410
623054115312211112
71333633154143154
oct147556204150724
927210638424418
107127264448980
1122a8723a79505
1297138a539a98
133c9137849c00
141a8d66296764
15c55e3308e55
hex67b7210d1d4

7127264448980 has 144 divisors (see below), whose sum is σ = 17752253667120. Its totient is φ = 2391397392384.

The previous prime is 7127264448973. The next prime is 7127264449007. The reversal of 7127264448980 is 898444627217.

It can be written as a sum of positive squares in 24 ways, for example, as 4953090606916 + 2174173842064 = 2225554^2 + 1474508^2 .

It is a congruent number.

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, 472259 + ... + 3804938.

It is an arithmetic number, because the mean of its divisors is an integer number (123279539355).

Almost surely, 27127264448980 is an apocalyptic number.

It is an amenable number.

7127264448980 is an abundant number, since it is smaller than the sum of its proper divisors (10624989218140).

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

7127264448980 is a wasteful number, since it uses less digits than its factorization.

7127264448980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277278 (or 4277263 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 62.

The spelling of 7127264448980 in words is "seven trillion, one hundred twenty-seven billion, two hundred sixty-four million, four hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 116 130 145 169 170 221 260 290 338 340 377 442 493 580 676 754 845 884 986 1105 1508 1690 1885 1972 2210 2465 2873 3380 3770 4420 4901 4930 5746 6409 7540 9802 9860 11492 12818 14365 19604 24505 25636 28730 32045 49010 57460 64090 83317 98020 128180 166634 333268 416585 833170 1666340 4277197 8554394 17108788 21385985 42771970 55603561 72712349 85543940 111207122 124038713 145424698 222414244 248077426 278017805 290849396 363561745 496154852 556035610 620193565 722846293 727123490 945260537 1112071220 1240387130 1445692586 1454246980 1612503269 1890521074 2108658121 2480774260 2891385172 3225006538 3614231465 3781042148 4217316242 4726302685 6450013076 7228462930 8062516345 8434632484 9452605370 10543290605 12288386981 14456925860 16125032690 18905210740 20962542497 21086581210 24576773962 27412555573 32250065380 41925084994 42173162420 49153547924 54825111146 61441934905 83850169988 104812712485 109650222292 122883869810 137062777865 209625424970 245767739620 274125555730 356363222449 419250849940 548251111460 712726444898 1425452889796 1781816112245 3563632224490 7127264448980