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126321954724 = 22725324792
BaseRepresentation
bin111010110100101100…
…0000000111110100100
3110002001121001012000201
41311221120000332210
54032201410022344
6134010445520244
712061242620200
oct1655130007644
9402047035021
10126321954724
11496334a5299
1220594b73084
13bbb1b99c94
146184c01b00
153444ed74d4
hex1d69600fa4

126321954724 has 81 divisors (see below), whose sum is σ = 262647265377. Its totient is φ = 53005618848.

The previous prime is 126321954719. The next prime is 126321954749. The reversal of 126321954724 is 427459123621.

The square root of 126321954724 is 355418.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 91065132900 + 35256821824 = 301770^2 + 187768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 263719917 + ... + 263720395.

Almost surely, 2126321954724 is an apocalyptic number.

126321954724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

126321954724 is the 355418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126321954724

126321954724 is an abundant number, since it is smaller than the sum of its proper divisors (136325310653).

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

126321954724 is an frugal number, since it uses more digits than its factorization.

126321954724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 541 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The spelling of 126321954724 in words is "one hundred twenty-six billion, three hundred twenty-one million, nine hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 479 742 958 1484 1916 2597 2809 3353 5194 5618 6706 10388 11236 13412 19663 23471 25387 39326 46942 50774 78652 93884 101548 137641 177709 229441 275282 355418 458882 550564 710836 917764 1243963 1345511 1606087 2487926 2691022 3212174 4975852 5382044 6424348 9418577 11242609 12160373 18837154 22485218 24320746 37674308 44970436 48641492 65930039 85122611 131860078 170245222 263720156 340490444 595858277 644499769 1191716554 1288999538 2383433108 2577999076 4511498383 9022996766 18045993532 31580488681 63160977362 126321954724