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92470552377921 = 3253219723072
BaseRepresentation
bin10101000001100111111010…
…011011010011101001000001
3110010102002122210020122100100
4111001213322123103221001
544110014142402043141
6524400215121113013
725322530330300644
oct2501477233235101
9403362583218310
1092470552377921
11275115a512a093
12a4554b4a88769
133c79c2189b403
1418b9854859a5b
15aa55880c60b6
hex5419fa6d3a41

92470552377921 has 81 divisors (see below), whose sum is σ = 137277997555881. Its totient is φ = 59980842702144.

The previous prime is 92470552377913. The next prime is 92470552377937. The reversal of 92470552377921 is 12977325507429.

It is a happy number.

The square root of 92470552377921 is 9616161.

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

92470552377921 is a `hidden beast` number, since 9 + 2 + 4 + 7 + 0 + 552 + 3 + 7 + 79 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54165346003521 + 38305206374400 = 7359711^2 + 6189120^2 .

It is not a de Polignac number, because 92470552377921 - 23 = 92470552377913 is a prime.

It is a super-2 number, since 2×924705523779212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (92470552375921) 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 80 ways as a sum of consecutive naturals, for example, 301207010850 + ... + 301207011156.

Almost surely, 292470552377921 is an apocalyptic number.

92470552377921 is the 9616161-st square number.

92470552377921 is the 4808081-st centered octagonal number.

It is an amenable number.

92470552377921 is a deficient number, since it is larger than the sum of its proper divisors (44807445177960).

92470552377921 is an frugal number, since it uses more digits than its factorization.

92470552377921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 92470552377921 in words is "ninety-two trillion, four hundred seventy billion, five hundred fifty-two million, three hundred seventy-seven thousand, nine hundred twenty-one".

Divisors: 1 3 9 53 159 197 307 477 591 921 1773 2763 2809 8427 10441 16271 25281 31323 38809 48813 60479 93969 94249 116427 146439 181437 282747 349281 544311 553373 848241 862363 1660119 2056877 2587089 3205387 4980357 4995197 6170631 7761267 9616161 11914363 14985591 18511893 18567053 28848483 35743089 44956773 55701159 107229267 109014481 167103477 169885511 264745441 327043443 509656533 631461239 794236323 981130329 984053809 1528969599 1894383717 2382708969 2952161427 3657709441 5683151151 8856484281 10973128323 32919384969 33467445667 52154851877 100402337001 156464555631 193858600373 301207011003 469393666893 581575801119 1744727403357 10274505819769 30823517459307 92470552377921