Search a number
-
+
23307382483984 = 24151279932
BaseRepresentation
bin1010100110010101011000…
…10000001110110000010000
310001112011102120002212000201
411103022230100032300100
511023332004403441414
6121323132543024544
74623621444210304
oct523125420166020
9101464376085021
1023307382483984
117476672876545
12274516329b154
131000b52266151
145a8124937d04
152a6429e56574
hex1532ac40ec10

23307382483984 has 45 divisors (see below), whose sum is σ = 45464782124349. Its totient is φ = 11575066147200.

The previous prime is 23307382483981. The next prime is 23307382483993. The reversal of 23307382483984 is 48938428370332.

The square root of 23307382483984 is 4827772.

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., 2057790250000 + 21249592233984 = 1434500^2 + 4609728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23307382483981) 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 8 ways as a sum of consecutive naturals, for example, 2915970292 + ... + 2915978284.

Almost surely, 223307382483984 is an apocalyptic number.

23307382483984 is the 4827772-nd square number.

It is an amenable number.

23307382483984 is a deficient number, since it is larger than the sum of its proper divisors (22157399640365).

23307382483984 is an frugal number, since it uses more digits than its factorization.

23307382483984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16296 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 64.

The spelling of 23307382483984 in words is "twenty-three trillion, three hundred seven billion, three hundred eighty-two million, four hundred eighty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 151 302 604 1208 2416 7993 15986 22801 31972 45602 63944 91204 127888 182408 364816 1206943 2413886 4827772 9655544 19311088 63888049 127776098 182248393 255552196 364496786 511104392 728993572 1022208784 1457987144 2915974288 9647095399 19294190798 38588381596 77176763192 154353526384 1456711405249 2913422810498 5826845620996 11653691241992 23307382483984