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23712412428 = 22328337920939
BaseRepresentation
bin10110000101010111…
…101011001100001100
32021012120002100201100
4112011113223030030
5342030334144203
614520543143100
71466421115515
oct260527531414
967176070640
1023712412428
11a069047471
1247192a4a90
13230b856193
14120d377a0c
1593bb34ea3
hex5855eb30c

23712412428 has 72 divisors (see below), whose sum is σ = 60824836800. Its totient is φ = 7787930976.

The previous prime is 23712412403. The next prime is 23712412457. The reversal of 23712412428 is 82421421732.

23712412428 is a `hidden beast` number, since 2 + 371 + 2 + 41 + 242 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23712412392 and 23712412401.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1121983 + ... + 1142921.

It is an arithmetic number, because the mean of its divisors is an integer number (844789400).

Almost surely, 223712412428 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 23712412428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412418400).

23712412428 is an abundant number, since it is smaller than the sum of its proper divisors (37112424372).

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

23712412428 is a wasteful number, since it uses less digits than its factorization.

23712412428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21411 (or 21406 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The spelling of 23712412428 in words is "twenty-three billion, seven hundred twelve million, four hundred twelve thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 379 498 747 758 996 1137 1494 1516 2274 2988 3411 4548 6822 13644 20939 31457 41878 62817 62914 83756 94371 125634 125828 188451 188742 251268 283113 376902 377484 566226 753804 1132452 1737937 3475874 5213811 6951748 7935881 10427622 15641433 15871762 20855244 23807643 31282866 31743524 47615286 62565732 71422929 95230572 142845858 285691716 658678123 1317356246 1976034369 2634712492 3952068738 5928103107 7904137476 11856206214 23712412428