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12742690368 = 263233193083
BaseRepresentation
bin10111101111000011…
…00000011001000000
31012220001121202000010
423313201200121000
5202044112042433
65504240024520
7630530036532
oct136741403100
935801552003
1012742690368
115449a09971
122577602140
131280ca0195
1488c509852
154e8a76e63
hex2f7860640

12742690368 has 112 divisors (see below), whose sum is σ = 36316164096. Its totient is φ = 3931783680.

The previous prime is 12742690319. The next prime is 12742690427. The reversal of 12742690368 is 86309624721.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90355 + ... + 183437.

Almost surely, 212742690368 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 12742690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18158082048).

12742690368 is an abundant number, since it is smaller than the sum of its proper divisors (23573473728).

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

12742690368 is a wasteful number, since it uses less digits than its factorization.

12742690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93152 (or 93142 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 12742690368 in words is "twelve billion, seven hundred forty-two million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 992 1104 1426 1472 1488 1984 2139 2208 2852 2976 4278 4416 5704 5952 8556 11408 17112 22816 34224 45632 68448 93083 136896 186166 279249 372332 558498 744664 1116996 1489328 2140909 2233992 2885573 2978656 4281818 4467984 5771146 5957312 6422727 8563636 8656719 8935968 11542292 12845454 17127272 17313438 17871936 23084584 25690908 34254544 34626876 46169168 51381816 66368179 68509088 69253752 92338336 102763632 132736358 137018176 138507504 184676672 199104537 205527264 265472716 277015008 398209074 411054528 530945432 554030016 796418148 1061890864 1592836296 2123781728 3185672592 4247563456 6371345184 12742690368