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92753059843921 = 43297223092
BaseRepresentation
bin10101000101101111000001…
…001011110000111101010001
3110011102002212012212212112211
4111011233001023300331101
544124131231310001141
6525134100100352121
725352121201162031
oct2505570113607521
9404362765785484
1092753059843921
112761039623a714
12a4a01b80a5641
133c9a764666b89
1418c93b470b8c1
15aacabec1bd81
hex545bc12f0f51

92753059843921 has 27 divisors (see below), whose sum is σ = 95990908513041. Its totient is φ = 89623200893184.

The previous prime is 92753059843919. The next prime is 92753059843943. The reversal of 92753059843921 is 12934895035729.

The square root of 92753059843921 is 9630839.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8906732892225 + 83846326951696 = 2984415^2 + 9156764^2 .

It is not a de Polignac number, because 92753059843921 - 21 = 92753059843919 is a prime.

It is a super-2 number, since 2×927530598439212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92753059843901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40170228315 + ... + 40170230623.

Almost surely, 292753059843921 is an apocalyptic number.

92753059843921 is the 9630839-th square number.

92753059843921 is the 4815420-th centered octagonal number.

It is an amenable number.

92753059843921 is a deficient number, since it is larger than the sum of its proper divisors (3237848669120).

92753059843921 is an frugal number, since it uses more digits than its factorization.

92753059843921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 67.

The spelling of 92753059843921 in words is "ninety-two trillion, seven hundred fifty-three billion, fifty-nine million, eight hundred forty-three thousand, nine hundred twenty-one".

Divisors: 1 43 97 1849 2309 4171 9409 99287 179353 223973 404587 4269341 5331481 9630839 17397241 21725381 229253683 414126077 517153657 934191383 9857908369 22237607251 40170229469 50163904729 956217111793 2157047903347 92753059843921