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11355162368 = 281112973109
BaseRepresentation
bin10101001001101001…
…00000011100000000
31002022100202000102012
422210310200130000
5141223410143433
65114432312052
7551251200434
oct124464403400
932270660365
1011355162368
1148a7769610
12224a9a2628
1310bc69a4b4
1479a1229c4
15466d47848
hex2a4d20700

11355162368 has 72 divisors (see below), whose sum is σ = 24753534960. Its totient is φ = 5155799040.

The previous prime is 11355162341. The next prime is 11355162433. The reversal of 11355162368 is 86326155311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3650798 + ... + 3653906.

Almost surely, 211355162368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12376767480).

11355162368 is an abundant number, since it is smaller than the sum of its proper divisors (13398372592).

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

11355162368 is a wasteful number, since it uses less digits than its factorization.

11355162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4433 (or 4419 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The spelling of 11355162368 in words is "eleven billion, three hundred fifty-five million, one hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1297 1408 2594 2816 3109 5188 6218 10376 12436 14267 20752 24872 28534 34199 41504 49744 57068 68398 83008 99488 114136 136796 166016 198976 228272 273592 332032 397952 456544 547184 795904 913088 1094368 1826176 2188736 3652352 4032373 4377472 8064746 8754944 16129492 32258984 44356103 64517968 88712206 129035936 177424412 258071872 354848824 516143744 709697648 1032287488 1419395296 2838790592 5677581184 11355162368