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126640661148 = 223229399119657
BaseRepresentation
bin111010111110001011…
…1110010001010011100
3110002212210202011001100
41311330113302022130
54033330002124043
6134102232513100
712102162600351
oct1657427621234
9402783664040
10126640661148
1149787396131
122066384b790
13bc32c17471
1461b5284628
153462e8dcd3
hex1d7c5f229c

126640661148 has 36 divisors (see below), whose sum is σ = 320133013200. Its totient is φ = 42211765056.

The previous prime is 126640661137. The next prime is 126640661269. The reversal of 126640661148 is 841166046621.

126640661148 is a `hidden beast` number, since 1 + 26 + 6 + 4 + 0 + 6 + 611 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 998536 + ... + 1118192.

It is an arithmetic number, because the mean of its divisors is an integer number (8892583700).

Almost surely, 2126640661148 is an apocalyptic number.

126640661148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126640661148 is an abundant number, since it is smaller than the sum of its proper divisors (193492352052).

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

126640661148 is a wasteful number, since it uses less digits than its factorization.

126640661148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149066 (or 149061 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 126640661148 in words is "one hundred twenty-six billion, six hundred forty million, six hundred sixty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 29399 58798 88197 117596 119657 176394 239314 264591 352788 358971 478628 529182 717942 1058364 1076913 1435884 2153826 4307652 3517796143 7035592286 10553388429 14071184572 21106776858 31660165287 42213553716 63320330574 126640661148