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11346934557 = 372314379733
BaseRepresentation
bin10101001000101010…
…00111101100011101
31002021210020222222110
422210111013230131
5141214303401212
65113540104233
7551121231600
oct124425075435
932253228873
1011346934557
1148a3059972
122248095079
1310baa7947a
14798dc0337
1546626ea3c
hex2a4547b1d

11346934557 has 96 divisors (see below), whose sum is σ = 18850529280. Its totient is φ = 6043040640.

The previous prime is 11346934537. The next prime is 11346934567. The reversal of 11346934557 is 75543964311.

11346934557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11346934557 - 28 = 11346934301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11346934537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15479763 + ... + 15480495.

It is an arithmetic number, because the mean of its divisors is an integer number (196359680).

Almost surely, 211346934557 is an apocalyptic number.

It is an amenable number.

11346934557 is a deficient number, since it is larger than the sum of its proper divisors (7503594723).

11346934557 is a wasteful number, since it uses less digits than its factorization.

11346934557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 896 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 48.

The spelling of 11346934557 in words is "eleven billion, three hundred forty-six million, nine hundred thirty-four thousand, five hundred fifty-seven".

Divisors: 1 3 7 21 31 43 49 79 93 129 147 217 237 301 553 651 733 903 1333 1519 1659 2107 2199 2449 3397 3871 3999 4557 5131 6321 7347 9331 10191 11613 15393 17143 22723 23779 27993 31519 35917 51429 57907 65317 68169 71337 94557 105307 107751 120001 159061 166453 173721 195951 220633 315921 360003 405349 477183 499359 661899 737149 977089 1113427 1216047 1544431 1795117 2211447 2490001 2837443 2931267 3340281 4633293 5160043 5385351 6839623 7470003 8512329 12565819 15480129 17430007 20518869 37697457 47877361 52290021 77190031 87960733 122010049 143632083 231570093 263882199 366030147 540330217 1620990651 3782311519 11346934557