Search a number
-
+
24012554132 = 22729411395189
BaseRepresentation
bin10110010111010000…
…100111111110010100
32021222110212010201202
4112113100213332110
5343134203213012
615010424212032
71510024225310
oct262720477624
967873763652
1024012554132
11a202508366
1247a190a018
132358aa3618
14123b186b40
15958170cc2
hex597427f94

24012554132 has 96 divisors (see below), whose sum is σ = 51268896000. Its totient is φ = 9622287360.

The previous prime is 24012554119. The next prime is 24012554171. The reversal of 24012554132 is 23145521042.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 24012554095 and 24012554104.

It is a congruent 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, 4624994 + ... + 4630182.

It is an arithmetic number, because the mean of its divisors is an integer number (534051000).

Almost surely, 224012554132 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 24012554132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634448000).

24012554132 is an abundant number, since it is smaller than the sum of its proper divisors (27256341868).

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

24012554132 is a wasteful number, since it uses less digits than its factorization.

24012554132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 24012554132 in words is "twenty-four billion, twelve million, five hundred fifty-four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 139 164 203 278 287 406 556 574 812 973 1148 1189 1946 2378 3892 4031 4756 5189 5699 8062 8323 10378 11398 16124 16646 20756 22796 28217 33292 36323 39893 56434 72646 79786 112868 145292 150481 159572 165271 212749 300962 330542 425498 601924 661084 721271 850996 1053367 1156897 1442542 1489243 2106734 2313794 2885084 2978486 4213468 4627588 5048897 5956972 6169721 10097794 12339442 20195588 20916859 24678884 29572111 41833718 43188047 59144222 83667436 86376094 118288444 146418013 172752188 207004777 292836026 414009554 585672052 828019108 857591219 1715182438 3430364876 6003138533 12006277066 24012554132