Search a number
-
+
728700081174 = 2321329383280373
BaseRepresentation
bin10101001101010011110…
…10001101010000010110
32120122220100202120201100
422212221322031100112
543414334210044144
61314432111410530
7103434603330402
oct12465172152026
92518810676640
10728700081174
1126104922044a
12b9288223a46
1353940424cb0
14273aac50102
1513e4da0a269
hexa9a9e8d416

728700081174 has 96 divisors (see below), whose sum is σ = 1763530030080. Its totient is φ = 215917841664.

The previous prime is 728700081173. The next prime is 728700081191. The reversal of 728700081174 is 471180007827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728700081173) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2458852 + ... + 2739224.

It is an arithmetic number, because the mean of its divisors is an integer number (18370104480).

Almost surely, 2728700081174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728700081174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881765015040).

728700081174 is an abundant number, since it is smaller than the sum of its proper divisors (1034829948906).

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

728700081174 is a wasteful number, since it uses less digits than its factorization.

728700081174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280806 (or 280803 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 45.

The spelling of 728700081174 in words is "seven hundred twenty-eight billion, seven hundred million, eighty-one thousand, one hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 383 522 754 766 1131 1149 2262 2298 3393 3447 4979 6786 6894 9958 11107 14937 22214 29874 33321 44811 66642 89622 99963 144391 199926 280373 288782 433173 560746 841119 866346 1299519 1682238 2523357 2599038 3644849 5046714 7289698 8130817 10934547 16261634 21869094 24392451 32803641 48784902 65607282 73177353 105700621 107382859 146354706 211401242 214765718 317101863 322148577 634203726 644297154 951305589 966445731 1395977167 1902611178 1932891462 2791954334 3114102911 4187931501 6228205822 8375863002 9342308733 12563794503 18684617466 25127589006 28026926199 40483337843 56053852398 80966675686 121450013529 242900027058 364350040587 728700081174