Search a number
-
+
296107687128 = 23311319487873
BaseRepresentation
bin1000100111100010110…
…01001011110011011000
31001022022020212001021010
410103301121023303120
514322412031442003
6344010251213520
730251552545401
oct4236131136330
91038266761233
10296107687128
11104640085000
1249479a472a0
1321bcc6128b6
14104902209a8
157a80b0b003
hex44f164bcd8

296107687128 has 128 divisors (see below), whose sum is σ = 857097043200. Its totient is φ = 85006817280.

The previous prime is 296107687111. The next prime is 296107687163. The reversal of 296107687128 is 821786701692.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 363000 + ... + 850872.

It is an arithmetic number, because the mean of its divisors is an integer number (6696070650).

Almost surely, 2296107687128 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 296107687128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428548521600).

296107687128 is an abundant number, since it is smaller than the sum of its proper divisors (560989356072).

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

296107687128 is a wasteful number, since it uses less digits than its factorization.

296107687128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487934 (or 487908 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 57.

The spelling of 296107687128 in words is "two hundred ninety-six billion, one hundred seven million, six hundred eighty-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 836 968 1254 1331 1452 1672 2299 2508 2662 2904 3993 4598 5016 5324 6897 7986 9196 10648 13794 15972 18392 25289 27588 31944 50578 55176 75867 101156 151734 202312 303468 487873 606936 975746 1463619 1951492 2927238 3902984 5366603 5854476 9269587 10733206 11708952 16099809 18539174 21466412 27808761 32199618 37078348 42932824 55617522 59032633 64399236 74156696 101965457 111235044 118065266 128798472 177097899 203930914 222470088 236130532 305896371 354195798 407861828 472261064 611792742 649358963 708391596 815723656 1121620027 1223585484 1298717926 1416783192 1948076889 2243240054 2447170968 2597435852 3364860081 3896153778 4486480108 5194871704 6729720162 7792307556 8972960216 12337820297 13459440324 15584615112 24675640594 26918880648 37013460891 49351281188 74026921782 98702562376 148053843564 296107687128