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1941112836 = 2234131727109
BaseRepresentation
bin111001110110011…
…0000100000000100
312000021112202020000
41303230300200010
512433411102321
6520340441300
766050121045
oct16354604004
95007482200
101941112836
11906786893
124620a9230
1324c1c9aa0
14145b2a8cc
15b562e826
hex73b30804

1941112836 has 120 divisors (see below), whose sum is σ = 5786466840. Its totient is φ = 562111488.

The previous prime is 1941112799. The next prime is 1941112843. The reversal of 1941112836 is 6382111491.

It can be written as a sum of positive squares in 4 ways, for example, as 113550336 + 1827562500 = 10656^2 + 42750^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1941112836.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58050 + ... + 85158.

It is an arithmetic number, because the mean of its divisors is an integer number (48220557).

Almost surely, 21941112836 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 1941112836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893233420).

1941112836 is an abundant number, since it is smaller than the sum of its proper divisors (3845354004).

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

1941112836 is a wasteful number, since it uses less digits than its factorization.

1941112836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27155 (or 27144 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1941112836 is about 44058.0620999154. The cubic root of 1941112836 is about 1247.4321334748.

The spelling of 1941112836 in words is "one billion, nine hundred forty-one million, one hundred twelve thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 81 102 108 117 153 156 162 204 221 234 306 324 351 442 459 468 612 663 702 884 918 1053 1326 1377 1404 1836 1989 2106 2652 2754 3978 4212 5508 5967 7956 11934 17901 23868 27109 35802 54218 71604 81327 108436 162654 243981 325308 352417 460853 487962 704834 731943 921706 975924 1057251 1382559 1409668 1463886 1843412 2114502 2195829 2765118 2927772 3171753 4147677 4229004 4391658 5530236 5991089 6343506 8295354 8783316 9515259 11982178 12443031 12687012 16590708 17973267 19030518 23964356 24886062 28545777 35946534 37329093 38061036 49772124 53919801 57091554 71893068 74658186 107839602 114183108 149316372 161759403 215679204 323518806 485278209 647037612 970556418 1941112836