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23701218304 = 2101722832
BaseRepresentation
bin10110000100101100…
…111110010000000000
32021011210000122021011
4112010230332100000
5342020002441204
614515503210304
71466224013551
oct260454762000
967153018234
1023701218304
11a0627a1125
1247155a6994
132309436c3a
14120baa2328
1593ab73304
hex584b3e400

23701218304 has 99 divisors (see below), whose sum is σ = 50508724017. Its totient is φ = 11114102784.

The previous prime is 23701218293. The next prime is 23701218337. The reversal of 23701218304 is 40381210732.

The square root of 23701218304 is 153952.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18452505600 + 5248712704 = 135840^2 + 72448^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 83749747 + ... + 83750029.

Almost surely, 223701218304 is an apocalyptic number.

23701218304 is the 153952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23701218304

23701218304 is an abundant number, since it is smaller than the sum of its proper divisors (26807505713).

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

23701218304 is an frugal number, since it uses more digits than its factorization.

23701218304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 23701218304 in words is "twenty-three billion, seven hundred one million, two hundred eighteen thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 283 289 512 544 566 578 1024 1088 1132 1156 2176 2264 2312 4352 4528 4624 4811 8704 9056 9248 9622 17408 18112 18496 19244 36224 36992 38488 72448 73984 76976 80089 81787 144896 147968 153952 160178 163574 289792 295936 307904 320356 327148 615808 640712 654296 1231616 1281424 1308592 1361513 2463232 2562848 2617184 2723026 4926464 5125696 5234368 5446052 10251392 10468736 10892104 20502784 20937472 21784208 23145721 41005568 41874944 43568416 46291442 82011136 83749888 87136832 92582884 174273664 185165768 348547328 370331536 697094656 740663072 1394189312 1481326144 2962652288 5925304576 11850609152 23701218304