Search a number
-
+
706666022216 = 237113121193741
BaseRepresentation
bin10100100100010001001…
…00111100010101001000
32111120000202210102010122
422102020210330111020
543034223000202331
61300345441202412
7102024562036430
oct12221044742510
92446022712118
10706666022216
11252771601870
12b4b59030408
135183b50969b
14262ba7652c0
15135ae40017b
hexa48893c548

706666022216 has 96 divisors (see below), whose sum is σ = 1706955560640. Its totient is φ = 266442768000.

The previous prime is 706666022191. The next prime is 706666022219. The reversal of 706666022216 is 612220666607.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (706666022219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4895 + ... + 1188846.

It is an arithmetic number, because the mean of its divisors is an integer number (17780787090).

Almost surely, 2706666022216 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 706666022216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853477780320).

706666022216 is an abundant number, since it is smaller than the sum of its proper divisors (1000289538424).

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

706666022216 is a wasteful number, since it uses less digits than its factorization.

706666022216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193827 (or 1193792 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 706666022216 in words is "seven hundred six billion, six hundred sixty-six million, twenty-two thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 961 1364 1736 1922 2387 2728 3844 4774 6727 7688 9548 10571 13454 19096 21142 26908 42284 53816 73997 84568 147994 295988 591976 1193741 2387482 4774964 8356187 9549928 13131151 16712374 26262302 33424748 37005971 52524604 66849496 74011942 91918057 105049208 148023884 183836114 259041797 296047768 367672228 407065681 518083594 735344456 814131362 1036167188 1147185101 1628262724 2072334376 2294370202 2849459767 3256525448 4588740404 5698919534 8030295707 9177480808 11397839068 12619036111 16060591414 22795678136 25238072222 32121182828 50476144444 64242365656 88333252777 100952288888 176666505554 353333011108 706666022216