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197621146116 = 2234246972
BaseRepresentation
bin1011100000001100100…
…0110110001000000100
3200220002120001101110000
42320003020312020010
511214212003133431
6230441431001300
720164144011642
oct2700310661004
9626076041400
10197621146116
11768a0a92059
1232372b09230
1315835528524
1497ca1a8192
1552196c89e6
hex2e03236204

197621146116 has 45 divisors (see below), whose sum is σ = 516641631429. Its totient is φ = 65871048096.

The previous prime is 197621146097. The next prime is 197621146123. The reversal of 197621146116 is 611641126791.

It is a happy number.

The square root of 197621146116 is 444546.

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

197621146116 is a `hidden beast` number, since 1 + 9 + 7 + 6 + 21 + 1 + 4 + 611 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 186235402500 + 11385743616 = 431550^2 + 106704^2 .

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 14 ways as a sum of consecutive naturals, for example, 7989480 + ... + 8014176.

Almost surely, 2197621146116 is an apocalyptic number.

197621146116 is the 444546-th square number.

It is an amenable number.

197621146116 is an abundant number, since it is smaller than the sum of its proper divisors (319020485313).

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

197621146116 is an frugal number, since it uses more digits than its factorization.

197621146116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49410 (or 24702 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 197621146116 in words is "one hundred ninety-seven billion, six hundred twenty-one million, one hundred forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 24697 49394 74091 98788 148182 222273 296364 444546 666819 889092 1333638 2000457 2667276 4000914 8001828 609941809 1219883618 1829825427 2439767236 3659650854 5489476281 7319301708 10978952562 16468428843 21957905124 32936857686 49405286529 65873715372 98810573058 197621146116