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23640454112 = 251153223909
BaseRepresentation
bin10110000001000101…
…001011001111100000
32021000112200111110112
4112001011023033200
5341403424012422
614505452550452
71464555354512
oct260105131740
967015614415
1023640454112
11a031469090
1246b9182428
1322c99801b2
1412039a5bb2
1593566dee2
hex58114b3e0

23640454112 has 72 divisors (see below), whose sum is σ = 51751473480. Its totient is φ = 10542471680.

The previous prime is 23640454111. The next prime is 23640454139. The reversal of 23640454112 is 21145404632.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23640454111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 976814 + ... + 1000722.

It is an arithmetic number, because the mean of its divisors is an integer number (718770465).

Almost surely, 223640454112 is an apocalyptic number.

23640454112 is a gapful number since it is divisible by the number (22) 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 23640454112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25875736740).

23640454112 is an abundant number, since it is smaller than the sum of its proper divisors (28111019368).

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

23640454112 is a wasteful number, since it uses less digits than its factorization.

23640454112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24036 (or 23975 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 23640454112 its reverse (21145404632), we get a palindrome (44785858744).

The spelling of 23640454112 in words is "twenty-three billion, six hundred forty million, four hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 176 212 352 424 583 848 1166 1696 2332 2809 4664 5618 9328 11236 18656 22472 23909 30899 44944 47818 61798 89888 95636 123596 191272 247192 262999 382544 494384 525998 765088 988768 1051996 1267177 2103992 2534354 4207984 5068708 8415968 10137416 13938947 20274832 27877894 40549664 55755788 67160381 111511576 134320762 223023152 268641524 446046304 537283048 738764191 1074566096 1477528382 2149132192 2955056764 5910113528 11820227056 23640454112