Search a number
-
+
23384189136 = 24371143147137
BaseRepresentation
bin10101110001110011…
…100110100011010000
32020100200110220000010
4111301303212203100
5340342323023021
614424220154520
71455324220350
oct256163464320
966320426003
1023384189136
119a0a846450
124647398a40
132288856009
1411bb938b60
1591cded976
hex571ce68d0

23384189136 has 160 divisors (see below), whose sum is σ = 77067353088. Its totient is φ = 5932523520.

The previous prime is 23384189131. The next prime is 23384189141. The reversal of 23384189136 is 63198148332.

It is an interprime number because it is at equal distance from previous prime (23384189131) and next prime (23384189141).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23384189131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85360 + ... + 232496.

Almost surely, 223384189136 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 23384189136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38533676544).

23384189136 is an abundant number, since it is smaller than the sum of its proper divisors (53683163952).

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

23384189136 is a wasteful number, since it uses less digits than its factorization.

23384189136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147209 (or 147203 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The spelling of 23384189136 in words is "twenty-three billion, three hundred eighty-four million, one hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 43 44 48 56 66 77 84 86 88 112 129 132 154 168 172 176 231 258 264 301 308 336 344 462 473 516 528 602 616 688 903 924 946 1032 1204 1232 1419 1806 1848 1892 2064 2408 2838 3311 3612 3696 3784 4816 5676 6622 7224 7568 9933 11352 13244 14448 19866 22704 26488 39732 52976 79464 147137 158928 294274 441411 588548 882822 1029959 1177096 1618507 1765644 2059918 2354192 3089877 3237014 3531288 4119836 4855521 6179754 6326891 6474028 7062576 8239672 9711042 11329549 12359508 12653782 12948056 16479344 18980673 19422084 22659098 24719016 25307564 25896112 33988647 37961346 38844168 44288237 45318196 49438032 50615128 67977294 69595801 75922692 77688336 88576474 90636392 101230256 132864711 135954588 139191602 151845384 177152948 181272784 208787403 265729422 271909176 278383204 303690768 354305896 417574806 487170607 531458844 543818352 556766408 708611792 835149612 974341214 1062917688 1113532816 1461511821 1670299224 1948682428 2125835376 2923023642 3340598448 3897364856 5846047284 7794729712 11692094568 23384189136