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114108716664 = 233231127402551
BaseRepresentation
bin110101001000101101…
…0001101011001111000
3101220112102200102001100
41222101122031121320
53332143312413124
6124230521451400
711146502042145
oct1522132153170
9356472612040
10114108716664
1144436439818
121a146940b60
13a9b67c47b7
145746b573cc
152e7cb951c9
hex1a9168d678

114108716664 has 96 divisors (see below), whose sum is σ = 321526333440. Its totient is φ = 36519336000.

The previous prime is 114108716629. The next prime is 114108716677. The reversal of 114108716664 is 466617801411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82189 + ... + 484739.

It is an arithmetic number, because the mean of its divisors is an integer number (3349232640).

Almost surely, 2114108716664 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 114108716664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160763166720).

114108716664 is an abundant number, since it is smaller than the sum of its proper divisors (207417616776).

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

114108716664 is a wasteful number, since it uses less digits than its factorization.

114108716664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402721 (or 402714 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 114108716664 in words is "one hundred fourteen billion, one hundred eight million, seven hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 127 186 248 254 279 372 381 508 558 744 762 1016 1116 1143 1524 2232 2286 3048 3937 4572 7874 9144 11811 15748 23622 31496 35433 47244 70866 94488 141732 283464 402551 805102 1207653 1610204 2415306 3220408 3622959 4830612 7245918 9661224 12479081 14491836 24958162 28983672 37437243 49916324 51123977 74874486 99832648 102247954 112311729 149748972 153371931 204495908 224623458 299497944 306743862 408991816 449246916 460115793 613487724 898493832 920231586 1226975448 1584843287 1840463172 3169686574 3680926344 4754529861 6339373148 9509059722 12678746296 14263589583 19018119444 28527179166 38036238888 57054358332 114108716664