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92126922752 = 2111923532
BaseRepresentation
bin101010111001100110…
…0010100100000000000
322210210111001120122002
41111303030110200000
53002133443012002
6110153355403132
76440663631344
oct1256314244000
9283714046562
1092126922752
1136086278697
1215a311534a8
1388c2678557
14465d595624
1525e2e61002
hex1573314800

92126922752 has 108 divisors (see below), whose sum is σ = 194966647785. Its totient is φ = 43515445248.

The previous prime is 92126922709. The next prime is 92126922773. The reversal of 92126922752 is 25722962129.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 91310334976 + 816587776 = 302176^2 + 28576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=214624.

It is a junction number, because it is equal to n+sod(n) for n = 92126922697 and 92126922706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 260982608 + ... + 260982960.

Almost surely, 292126922752 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 92126922752

92126922752 is an abundant number, since it is smaller than the sum of its proper divisors (102839725033).

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

92126922752 is an frugal number, since it uses more digits than its factorization.

92126922752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 374 counting only the distinct ones).

The product of its digits is 544320, while the sum is 47.

The spelling of 92126922752 in words is "ninety-two billion, one hundred twenty-six million, nine hundred twenty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 353 361 512 608 706 722 1024 1216 1412 1444 2048 2432 2824 2888 4864 5648 5776 6707 9728 11296 11552 13414 19456 22592 23104 26828 38912 45184 46208 53656 90368 92416 107312 124609 127433 180736 184832 214624 249218 254866 361472 369664 429248 498436 509732 722944 739328 858496 996872 1019464 1716992 1993744 2038928 2367571 3433984 3987488 4077856 4735142 6867968 7974976 8155712 9470284 13735936 15949952 16311424 18940568 31899904 32622848 37881136 44983849 63799808 65245696 75762272 89967698 127599616 130491392 151524544 179935396 255199232 260982784 303049088 359870792 606098176 719741584 1212196352 1439483168 2424392704 2878966336 4848785408 5757932672 11515865344 23031730688 46063461376 92126922752