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115456507716 = 223117146126723
BaseRepresentation
bin110101110000110111…
…1100111111101000100
3102001000100210021210110
41223201233213331010
53342423331221331
6125012345353020
711225056060134
oct1534157477504
9361010707713
10115456507716
1144a68209120
121a462198770
13ab6cac35b4
145833b58ac4
15300b175946
hex1ae1be7f44

115456507716 has 96 divisors (see below), whose sum is σ = 298686237696. Its totient is φ = 34417936000.

The previous prime is 115456507693. The next prime is 115456507739. The reversal of 115456507716 is 617705654511.

It is an interprime number because it is at equal distance from previous prime (115456507693) and next prime (115456507739).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4307131 + ... + 4333853.

It is an arithmetic number, because the mean of its divisors is an integer number (3111314976).

Almost surely, 2115456507716 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 115456507716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149343118848).

115456507716 is an abundant number, since it is smaller than the sum of its proper divisors (183229729980).

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

115456507716 is a wasteful number, since it uses less digits than its factorization.

115456507716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27273 (or 27271 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 115456507716 in words is "one hundred fifteen billion, four hundred fifty-six million, five hundred seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 461 781 852 922 1383 1562 1844 2343 2766 3124 4686 5071 5532 9372 10142 15213 20284 26723 30426 32731 53446 60852 65462 80169 98193 106892 130924 160338 196386 293953 320676 360041 392772 587906 720082 881859 1080123 1175812 1440164 1763718 1897333 2160246 3527436 3794666 4320492 5691999 7589332 11383998 12319303 20870663 22767996 24638606 36957909 41741326 49277212 62611989 73915818 83482652 125223978 135512333 147831636 250447956 271024666 406536999 542049332 813073998 874670513 1626147996 1749341026 2624011539 3498682052 5248023078 9621375643 10496046156 19242751286 28864126929 38485502572 57728253858 115456507716