Search a number
-
+
70123242064 = 241721093732
BaseRepresentation
bin100000101001110101…
…0111100001001010000
320201000000020210012111
41001103222330021100
52122103022221224
652114132235104
75031501502651
oct1012352741120
9221000223174
1070123242064
1127814818717
121171016ba94
1367c6b38155
143573137528
151c56356d94
hex1053abc250

70123242064 has 90 divisors (see below), whose sum is σ = 146041505610. Its totient is φ = 32608770048.

The previous prime is 70123242029. The next prime is 70123242071. The reversal of 70123242064 is 46024232107.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 158760000 + 69964482064 = 12600^2 + 264508^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 187997782 + ... + 187998154.

Almost surely, 270123242064 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 70123242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73020752805).

70123242064 is an abundant number, since it is smaller than the sum of its proper divisors (75918263546).

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

70123242064 is a wasteful number, since it uses less digits than its factorization.

70123242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 70123242064 in words is "seventy billion, one hundred twenty-three million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 289 373 436 578 746 872 1156 1492 1744 1853 2312 2984 3706 4624 5968 6341 7412 12682 14824 25364 29648 31501 40657 50728 63002 81314 101456 107797 126004 139129 162628 215594 252008 278258 325256 431188 504016 556516 650512 691169 862376 1113032 1382338 1724752 2226064 2365193 2764676 4730386 5529352 9460772 11058704 11749873 15165061 18921544 23499746 30330122 37843088 40208281 46999492 60660244 80416562 93998984 121320488 160833124 187997968 242640976 257806037 321666248 515612074 643332496 1031224148 2062448296 4124896592 4382702629 8765405258 17530810516 35061621032 70123242064