Search a number
-
+
115429316736 = 2731768325889
BaseRepresentation
bin110101110000000011…
…1111001100010000000
3102000221110121211210010
41223200013321202000
53342344401113421
6125005534504520
711224306001136
oct1534007714200
9360843554703
10115429316736
1144a53927138
121a455065140
13ab67293066
1458302bb756
153008aa4076
hex1ae01f9880

115429316736 has 128 divisors (see below), whose sum is σ = 325132833600. Its totient is φ = 36158701568.

The previous prime is 115429316699. The next prime is 115429316789. The reversal of 115429316736 is 637613924511.

It is a tau number, because it is divible by the number of its divisors (128).

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, 4445680 + ... + 4471568.

Almost surely, 2115429316736 is an apocalyptic number.

115429316736 is a gapful number since it is divisible by the number (16) 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 115429316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162566416800).

115429316736 is an abundant number, since it is smaller than the sum of its proper divisors (209703516864).

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

115429316736 is a wasteful number, since it uses less digits than its factorization.

115429316736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26606 (or 26594 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The spelling of 115429316736 in words is "one hundred fifteen billion, four hundred twenty-nine million, three hundred sixteen thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 683 816 1088 1366 1632 2049 2176 2732 3264 4098 5464 6528 8196 10928 11611 16392 21856 23222 25889 32784 34833 43712 46444 51778 65568 69666 77667 87424 92888 103556 131136 139332 155334 185776 207112 262272 278664 310668 371552 414224 440113 557328 621336 743104 828448 880226 1114656 1242672 1320339 1486208 1656896 1760452 2229312 2485344 2640678 3313792 3520904 4458624 4970688 5281356 7041808 9941376 10562712 14083616 17682187 21125424 28167232 35364374 42250848 53046561 56334464 70728748 84501696 106093122 141457496 169003392 212186244 282914992 300597179 424372488 565829984 601194358 848744976 901791537 1131659968 1202388716 1697489952 1803583074 2263319936 2404777432 3394979904 3607166148 4809554864 6789959808 7214332296 9619109728 14428664592 19238219456 28857329184 38476438912 57714658368 115429316736