Search a number
-
+
151863967044 = 223317131631409
BaseRepresentation
bin1000110101101111001…
…1000011110101000100
3112111222122211211222000
42031123303003311010
54442004133421134
6153433151505300
713654221264336
oct2153363036504
9474878754860
10151863967044
1159450283189
1225522b28230
13114227a803a
1474c9159456
153e3c570e99
hex235bcc3d44

151863967044 has 96 divisors (see below), whose sum is σ = 420064444800. Its totient is φ = 47279831040.

The previous prime is 151863967039. The next prime is 151863967081. The reversal of 151863967044 is 440769368151.

151863967044 is a `hidden beast` number, since 1 + 5 + 186 + 396 + 70 + 4 + 4 = 666.

151863967044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1518639670442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 75189 + ... + 556220.

It is an arithmetic number, because the mean of its divisors is an integer number (4375671300).

Almost surely, 2151863967044 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 151863967044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210032222400).

151863967044 is an abundant number, since it is smaller than the sum of its proper divisors (268200477756).

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

151863967044 is a wasteful number, since it uses less digits than its factorization.

151863967044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631570 (or 631562 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 151863967044 in words is "one hundred fifty-one billion, eight hundred sixty-three million, nine hundred sixty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 131 153 204 262 306 393 459 524 612 786 918 1179 1572 1836 2227 2358 3537 4454 4716 6681 7074 8908 13362 14148 20043 26724 40086 60129 80172 120258 240516 631409 1262818 1894227 2525636 3788454 5682681 7576908 10733953 11365362 17048043 21467906 22730724 32201859 34096086 42935812 64403718 68192172 82714579 96605577 128807436 165429158 193211154 248143737 289816731 330858316 386422308 496287474 579633462 744431211 992574948 1159266924 1406147843 1488862422 2233293633 2812295686 2977724844 4218443529 4466587266 5624591372 8436887058 8933174532 12655330587 16873774116 25310661174 37965991761 50621322348 75931983522 151863967044