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11433322164 = 22311313378291
BaseRepresentation
bin10101010010111101…
…01010011010110100
31002111210210221111110
422221132222122310
5141403412302124
65130303435020
7553220430525
oct125136523264
932453727443
1011433322164
1149378a3190
122270bb5a70
1311029350b4
147a666a84c
1546db36029
hex2a97aa6b4

11433322164 has 96 divisors (see below), whose sum is σ = 30134587392. Its totient is φ = 3342528000.

The previous prime is 11433322157. The next prime is 11433322177. The reversal of 11433322164 is 46122333411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1374859 + ... + 1383149.

It is an arithmetic number, because the mean of its divisors is an integer number (313901952).

Almost surely, 211433322164 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 11433322164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15067293696).

11433322164 is an abundant number, since it is smaller than the sum of its proper divisors (18701265228).

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

11433322164 is a wasteful number, since it uses less digits than its factorization.

11433322164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677 (or 8675 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 11433322164 its reverse (46122333411), we get a palindrome (57555655575).

The spelling of 11433322164 in words is "eleven billion, four hundred thirty-three million, three hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 337 341 372 674 682 1011 1023 1348 1364 2022 2046 3707 4044 4092 7414 8291 10447 11121 14828 16582 20894 22242 24873 31341 33164 41788 44484 49746 62682 91201 99492 114917 125364 182402 229834 257021 273603 344751 364804 459668 514042 547206 689502 771063 1028084 1094412 1379004 1542126 2794067 2827231 3084252 5588134 5654462 8382201 8481693 11176268 11308924 16764402 16963386 30734737 33528804 33926772 61469474 86616077 92204211 122938948 173232154 184408422 259848231 346464308 368816844 519696462 952776847 1039392924 1905553694 2858330541 3811107388 5716661082 11433322164