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11333902932 = 223211312393863
BaseRepresentation
bin10101000111000110…
…11010001001010100
31002020212201220221200
422203203122021110
5141202434343212
65112352512500
7550602404532
oct124343321124
932225656850
1011333902932
114896769030
12224384b730
1310b8165a51
1479738b152
154650486dc
hex2a38da254

11333902932 has 144 divisors (see below), whose sum is σ = 32405667840. Its totient is φ = 3308961600.

The previous prime is 11333902919. The next prime is 11333902939. The reversal of 11333902932 is 23920933311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333902939) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932033 + ... + 2935895.

It is an arithmetic number, because the mean of its divisors is an integer number (225039360).

Almost surely, 211333902932 is an apocalyptic number.

11333902932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333902932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16202833920).

11333902932 is an abundant number, since it is smaller than the sum of its proper divisors (21071764908).

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

11333902932 is a wasteful number, since it uses less digits than its factorization.

11333902932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 11333902932 in words is "eleven billion, three hundred thirty-three million, nine hundred two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 239 279 341 372 396 478 558 682 717 956 1023 1116 1364 1434 2046 2151 2629 2868 3069 3863 4092 4302 5258 6138 7409 7726 7887 8604 10516 11589 12276 14818 15452 15774 22227 23178 23661 29636 31548 34767 42493 44454 46356 47322 66681 69534 81499 84986 88908 94644 119753 127479 133362 139068 162998 169972 239506 244497 254958 266724 325996 359259 382437 479012 488994 509916 718518 733491 764874 923257 977988 1077777 1317283 1437036 1466982 1529748 1846514 2155554 2634566 2769771 2933964 3693028 3951849 4311108 5269132 5539542 7903698 8309313 10155827 11079084 11855547 15807396 16618626 20311654 23711094 28620967 30467481 33237252 40623308 47422188 57241934 60934962 85862901 91402443 114483868 121869924 171725802 182804886 257588703 314830637 343451604 365609772 515177406 629661274 944491911 1030354812 1259322548 1888983822 2833475733 3777967644 5666951466 11333902932