Search a number
-
+
23333132004 = 223713211101267
BaseRepresentation
bin10101101110110000…
…110101011011100100
32020020010101220210020
4111232300311123210
5340241240211004
614415153555140
71454134230630
oct255660653344
966203356706
1023333132004
119993a43476
124632275ab0
13227b0ba6b0
1411b4c47dc0
159186b58d9
hex56ec356e4

23333132004 has 96 divisors (see below), whose sum is σ = 67326206976. Its totient is φ = 6124567680.

The previous prime is 23333131973. The next prime is 23333132027. The reversal of 23333132004 is 40023133332.

It is a happy 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, 179779 + ... + 281045.

It is an arithmetic number, because the mean of its divisors is an integer number (701314656).

Almost surely, 223333132004 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 23333132004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33663103488).

23333132004 is an abundant number, since it is smaller than the sum of its proper divisors (43993074972).

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

23333132004 is a wasteful number, since it uses less digits than its factorization.

23333132004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101505 (or 101503 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 23333132004 its reverse (40023133332), we get a palindrome (63356265336).

The spelling of 23333132004 in words is "twenty-three billion, three hundred thirty-three million, one hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 211 273 364 422 546 633 844 1092 1266 1477 2532 2743 2954 4431 5486 5908 8229 8862 10972 16458 17724 19201 32916 38402 57603 76804 101267 115206 202534 230412 303801 405068 607602 708869 1215204 1316471 1417738 2126607 2632942 2835476 3949413 4253214 5265884 7898826 8506428 9215297 15797652 18430594 21367337 27645891 36861188 42734674 55291782 64102011 85469348 110583564 128204022 149571359 256408044 277775381 299142718 448714077 555550762 598285436 833326143 897428154 1111101524 1666652286 1794856308 1944427667 3333304572 3888855334 5833283001 7777710668 11666566002 23333132004