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97116996496 = 241344612
BaseRepresentation
bin101101001110010011…
…1111100001110010000
3100021200020202120221011
41122130213330032100
53042343422341441
6112340454140304
710005435564322
oct1323447741620
9307606676834
1097116996496
1138207015983
12169a4351694
139209440000
1449b41d1612
1527d60a6581
hex169c9fc390

97116996496 has 75 divisors (see below), whose sum is σ = 204287117093. Its totient is φ = 44725998720.

The previous prime is 97116996469. The next prime is 97116996499. The reversal of 97116996496 is 69469961179.

The square root of 97116996496 is 311636.

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

It can be written as a sum of positive squares in 7 ways, for example, as 94025636496 + 3091360000 = 306636^2 + 55600^2 .

It is a super-2 number, since 2×971169964962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (97116996499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 210665706 + ... + 210666166.

Almost surely, 297116996496 is an apocalyptic number.

97116996496 is the 311636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97116996496

97116996496 is an abundant number, since it is smaller than the sum of its proper divisors (107170120597).

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

97116996496 is an frugal number, since it uses more digits than its factorization.

97116996496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 476 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 67.

The spelling of 97116996496 in words is "ninety-seven billion, one hundred sixteen million, nine hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 461 676 922 1352 1844 2197 2704 3688 4394 5993 7376 8788 11986 17576 23972 28561 35152 47944 57122 77909 95888 114244 155818 212521 228488 311636 425042 456976 623272 850084 1012817 1246544 1700168 2025634 2762773 3400336 4051268 5525546 8102536 11051092 13166621 16205072 22102184 26333242 35916049 44204368 52666484 71832098 105332968 143664196 210665936 287328392 466908637 574656784 933817274 1867634548 3735269096 6069812281 7470538192 12139624562 24279249124 48558498248 97116996496