Search a number
-
+
23281388544 = 210313215737
BaseRepresentation
bin10101101011101011…
…011100110000000000
32020002112001002002210
4111223223130300000
5340140013413134
614410104542120
71452635352231
oct255353346000
966075032083
1023281388544
119967811887
124618a81940
13227047186b
1411ac019088
15913d942e9
hex56badcc00

23281388544 has 88 divisors (see below), whose sum is σ = 62111187568. Its totient is φ = 7753236480.

The previous prime is 23281388539. The next prime is 23281388549. The reversal of 23281388544 is 44588318232.

It is an interprime number because it is at equal distance from previous prime (23281388539) and next prime (23281388549).

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

It is a junction number, because it is equal to n+sod(n) for n = 23281388493 and 23281388502.

It is not an unprimeable number, because it can be changed into a prime (23281388549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4055244 + ... + 4060980.

Almost surely, 223281388544 is an apocalyptic number.

23281388544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23281388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31055593784).

23281388544 is an abundant number, since it is smaller than the sum of its proper divisors (38829799024).

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

23281388544 is a wasteful number, since it uses less digits than its factorization.

23281388544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7081 (or 7063 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 48.

The spelling of 23281388544 in words is "twenty-three billion, two hundred eighty-one million, three hundred eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1321 1536 2642 3072 3963 5284 5737 7926 10568 11474 15852 17211 21136 22948 31704 34422 42272 45896 63408 68844 84544 91792 126816 137688 169088 183584 253632 275376 338176 367168 507264 550752 676352 734336 1014528 1101504 1352704 1468672 2029056 2203008 2937344 4058112 4406016 5874688 7578577 8812032 15157154 17624064 22735731 30314308 45471462 60628616 90942924 121257232 181885848 242514464 363771696 485028928 727543392 970057856 1455086784 1940115712 2910173568 3880231424 5820347136 7760462848 11640694272 23281388544