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23634312416 = 2511213835657
BaseRepresentation
bin10110000000101101…
…101111110011100000
32021000010010110122022
4112000231233303200
5341400340444131
614505113201012
71464452224631
oct260055576340
967003113568
1023634312416
11a028a53800
1246b7100168
1322c860c860
141202c47888
15934d5937b
hex580b6fce0

23634312416 has 144 divisors (see below), whose sum is σ = 55752257232. Its totient is φ = 9795287040.

The previous prime is 23634312367. The next prime is 23634312421. The reversal of 23634312416 is 61421343632.

It is a congruent number.

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, 4175060 + ... + 4180716.

It is an arithmetic number, because the mean of its divisors is an integer number (387168453).

Almost surely, 223634312416 is an apocalyptic number.

23634312416 is a gapful number since it is divisible by the number (26) 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 23634312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27876128616).

23634312416 is an abundant number, since it is smaller than the sum of its proper divisors (32117944816).

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

23634312416 is a wasteful number, since it uses less digits than its factorization.

23634312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5785 (or 5766 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The spelling of 23634312416 in words is "twenty-three billion, six hundred thirty-four million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 83 88 104 121 143 166 176 208 242 286 332 352 416 484 572 664 913 968 1079 1144 1328 1573 1826 1936 2158 2288 2656 3146 3652 3872 4316 4576 5657 6292 7304 8632 10043 11314 11869 12584 14608 17264 20086 22628 23738 25168 29216 34528 40172 45256 47476 50336 62227 73541 80344 90512 94952 124454 130559 147082 160688 181024 189904 248908 261118 294164 321376 379808 469531 497816 522236 588328 684497 808951 939062 995632 1044472 1176656 1368994 1617902 1878124 1991264 2088944 2353312 2737988 3235804 3756248 4177888 5164841 5475976 6103903 6471608 7512496 8898461 10329682 10951952 12207806 12943216 15024992 17796922 20659364 21903904 24415612 25886432 35593844 41318728 48831224 56813251 67142933 71187688 82637456 97662448 113626502 134285866 142375376 165274912 195324896 227253004 268571732 284750752 454506008 537143464 738572263 909012016 1074286928 1477144526 1818024032 2148573856 2954289052 5908578104 11817156208 23634312416