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23324079438 = 2391161883
BaseRepresentation
bin10101101110001110…
…010011010101001110
32020012111101000000000
4111232032103111032
5340231431020223
614414231545130
71453664255412
oct255616232516
966174330000
1023324079438
119989920110
12462b22b1a6
13227926b14a
1411b396cd42
159179c8543
hex56e39354e

23324079438 has 160 divisors (see below), whose sum is σ = 58253450112. Its totient is φ = 6944162400.

The previous prime is 23324079433. The next prime is 23324079503. The reversal of 23324079438 is 83497042332.

23324079438 is a `hidden beast` number, since 233 + 2 + 407 + 9 + 4 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23324079393 and 23324079402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23324079433) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 26414145 + ... + 26415027.

Almost surely, 223324079438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23324079438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29126725056).

23324079438 is an abundant number, since it is smaller than the sum of its proper divisors (34929370674).

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

23324079438 is an frugal number, since it uses more digits than its factorization.

23324079438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23324079438 in words is "twenty-three billion, three hundred twenty-four million, seventy-nine thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 81 99 122 162 183 198 243 297 366 486 549 594 671 729 883 891 1098 1342 1458 1647 1766 1782 2013 2187 2649 2673 3294 4026 4374 4941 5298 5346 6039 6561 7947 8019 9713 9882 12078 13122 14823 15894 16038 18117 19426 19683 23841 24057 29139 29646 36234 39366 44469 47682 48114 53863 54351 58278 71523 72171 87417 88938 107726 108702 133407 143046 144342 161589 163053 174834 214569 216513 262251 266814 323178 326106 400221 429138 433026 484767 489159 524502 592493 643707 786753 800442 969534 978318 1184986 1200663 1287414 1454301 1467477 1573506 1777479 1931121 2360259 2401326 2908602 2934954 3554958 3862242 4362903 4402431 4720518 5332437 5793363 7080777 8725806 8804862 10664874 11586726 13088709 13207293 14161554 15997311 17380089 21242331 26177418 26414586 31994622 34760178 39266127 42484662 47991933 63726993 78532254 95983866 117798381 127453986 143975799 191180979 235596762 287951598 353395143 382361958 431927397 706790286 863854794 1060185429 1295782191 2120370858 2591564382 3887346573 7774693146 11662039719 23324079438