Search a number
-
+
15443242864 = 2471929251997
BaseRepresentation
bin11100110000111110…
…10010111101110000
31110212021012000120221
432120133102331300
5223111432232424
611032230142424
71054461253450
oct163037227560
943767160527
1015443242864
116605342a35
122babab1a14
1315c161b23a
14a67043d60
15605bba9e4
hex3987d2f70

15443242864 has 160 divisors (see below), whose sum is σ = 37422604800. Its totient is φ = 6023808000.

The previous prime is 15443242849. The next prime is 15443242879. The reversal of 15443242864 is 46824234451.

It is an interprime number because it is at equal distance from previous prime (15443242849) and next prime (15443242879).

It is a self number, because there is not a number n which added to its sum of digits gives 15443242864.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15489214 + ... + 15490210.

It is an arithmetic number, because the mean of its divisors is an integer number (233891280).

Almost surely, 215443242864 is an apocalyptic number.

15443242864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15443242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18711302400).

15443242864 is an abundant number, since it is smaller than the sum of its proper divisors (21979361936).

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

15443242864 is a wasteful number, since it uses less digits than its factorization.

15443242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1305 counting only the distinct ones).

The product of its digits is 737280, while the sum is 43.

The spelling of 15443242864 in words is "fifteen billion, four hundred forty-three million, two hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 251 266 304 406 464 502 532 551 812 997 1004 1064 1102 1624 1757 1994 2008 2128 2204 3248 3514 3857 3988 4016 4408 4769 6979 7028 7279 7714 7976 8816 9538 13958 14056 14558 15428 15952 18943 19076 27916 28112 28913 29116 30856 33383 37886 38152 50953 55832 57826 58232 61712 66766 75772 76304 101906 111664 115652 116464 132601 133532 138301 151544 202391 203812 231304 250247 265202 267064 276602 303088 404782 407624 462608 500494 530404 534128 549347 553204 809564 815248 968107 1000988 1060808 1098694 1106408 1619128 1751729 1936214 2001976 2121616 2197388 2212816 3238256 3503458 3845429 3872428 4003952 4394776 4754693 7006916 7257163 7690858 7744856 8789552 9509386 14013832 14514326 15381716 15489712 19018772 28027664 29028652 30763432 33282851 38037544 50800141 58057304 61526864 66565702 76075088 101600282 116114608 133131404 137886097 203200564 266262808 275772194 406401128 532525616 551544388 812802256 965202679 1103088776 1930405358 2206177552 3860810716 7721621432 15443242864