Search a number
-
+
123422688688 = 24132371363367
BaseRepresentation
bin111001011110010010…
…0001100010110110000
3102210120112120012201011
41302330210030112300
54010232202014223
6132411040320304
711626346354425
oct1627444142660
9383515505634
10123422688688
1148385987862
121bb06013094
13b83c325350
145d8bb3bd4c
1533256e080d
hex1cbc90c5b0

123422688688 has 80 divisors (see below), whose sum is σ = 272508558336. Its totient is φ = 53720029440.

The previous prime is 123422688671. The next prime is 123422688731. The reversal of 123422688688 is 886886224321.

It is a super-2 number, since 2×1234226886882 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157981 + ... + 521347.

Almost surely, 2123422688688 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 123422688688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136254279168).

123422688688 is an abundant number, since it is smaller than the sum of its proper divisors (149085869648).

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

123422688688 is a wasteful number, since it uses less digits than its factorization.

123422688688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363482 (or 363476 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 58.

The spelling of 123422688688 in words is "one hundred twenty-three billion, four hundred twenty-two million, six hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 52 71 92 104 142 184 208 284 299 368 568 598 923 1136 1196 1633 1846 2392 3266 3692 4784 6532 7384 13064 14768 21229 26128 42458 84916 169832 339664 363367 726734 1453468 2906936 4723771 5813872 8357441 9447542 16714882 18895084 25799057 33429764 37790168 51598114 66859528 75580336 103196228 108646733 133719056 206392456 217293466 335387741 412784912 434586932 593378311 670775482 869173864 1186756622 1341550964 1738347728 2373513244 2683101928 4747026488 5366203856 7713918043 9494052976 15427836086 30855672172 61711344344 123422688688