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114961010616 = 23345312726357
BaseRepresentation
bin110101100010000110…
…1011100111110111000
3101222201211102102120000
41223010031130332320
53340420004314431
6124451245233000
711206561316154
oct1530415347670
9358654372500
10114961010616
1144833547891
121a344262760
13aac1256c4a
1457c8016064
152ecc8eb9e6
hex1ac435cfb8

114961010616 has 160 divisors (see below), whose sum is σ = 330668490240. Its totient is φ = 37299854592.

The previous prime is 114961010587. The next prime is 114961010641. The reversal of 114961010616 is 616010169411.

114961010616 is a `hidden beast` number, since 1 + 1 + 496 + 101 + 0 + 61 + 6 = 666.

114961010616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 4348510 + ... + 4374866.

It is an arithmetic number, because the mean of its divisors is an integer number (2066678064).

Almost surely, 2114961010616 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 114961010616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165334245120).

114961010616 is an abundant number, since it is smaller than the sum of its proper divisors (215707479624).

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

114961010616 is a wasteful number, since it uses less digits than its factorization.

114961010616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26555 (or 26542 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 114961010616 in words is "one hundred fourteen billion, nine hundred sixty-one million, ten thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 127 159 162 212 216 254 318 324 381 424 477 508 636 648 762 954 1016 1143 1272 1431 1524 1908 2286 2862 3048 3429 3816 4293 4572 5724 6731 6858 8586 9144 10287 11448 13462 13716 17172 20193 20574 26357 26924 27432 34344 40386 41148 52714 53848 60579 79071 80772 82296 105428 121158 158142 161544 181737 210856 237213 242316 316284 363474 474426 484632 545211 632568 711639 726948 948852 1090422 1396921 1423278 1453896 1897704 2134917 2180844 2793842 2846556 3347339 4190763 4269834 4361688 5587684 5693112 6694678 8381526 8539668 10042017 11175368 12572289 13389356 16763052 17079336 20084034 25144578 26778712 30126051 33526104 37716867 40168068 50289156 60252102 75433734 80336136 90378153 100578312 113150601 120504204 150867468 177408967 180756306 226301202 241008408 271134459 301734936 354817934 361512612 452602404 532226901 542268918 709635868 723025224 905204808 1064453802 1084537836 1419271736 1596680703 2128907604 2169075672 3193361406 4257815208 4790042109 6386722812 9580084218 12773445624 14370126327 19160168436 28740252654 38320336872 57480505308 114961010616