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1137128188 = 2271923199467
BaseRepresentation
bin100001111000111…
…0011001011111100
32221020201002121211
41003301303023330
54312101100223
6304500334204
740115300350
oct10361631374
92836632554
101137128188
11533974269
122789a4364
13151780321
14ab045460
1569c6bd0d
hex43c732fc

1137128188 has 96 divisors (see below), whose sum is σ = 2515968000. Its totient is φ = 438457536.

The previous prime is 1137128183. The next prime is 1137128189. The reversal of 1137128188 is 8818217311.

It is a self number, because there is not a number n which added to its sum of digits gives 1137128188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137128183) 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 31 ways as a sum of consecutive naturals, for example, 2434731 + ... + 2435197.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 21137128188 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 1137128188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984000).

1137128188 is an abundant number, since it is smaller than the sum of its proper divisors (1378839812).

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

1137128188 is a wasteful number, since it uses less digits than its factorization.

1137128188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 717 counting only the distinct ones).

The product of its digits is 21504, while the sum is 40.

The square root of 1137128188 is about 33721.3313497555. The cubic root of 1137128188 is about 1043.7659900834.

The spelling of 1137128188 in words is "one billion, one hundred thirty-seven million, one hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 199 266 322 398 437 467 532 644 796 874 934 1393 1748 1868 2786 3059 3269 3781 4577 5572 6118 6538 7562 8873 9154 10741 12236 13076 15124 17746 18308 21482 26467 32039 35492 42964 52934 62111 64078 75187 86963 92933 105868 124222 128156 150374 173926 185866 204079 248444 300748 347852 371732 408158 608741 650531 816316 1217482 1301062 1428553 1765727 2137459 2434964 2602124 2857106 3531454 4274918 5714212 7062908 8549836 12360089 14962213 24720178 29924426 40611721 49440356 59848852 81223442 162446884 284282047 568564094 1137128188