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23428916976 = 243672227479
BaseRepresentation
bin10101110100011110…
…001110011011110000
32020110210122022001210
4111310132032123300
5340440300320401
614432455000120
71456406336253
oct256436163360
966423568053
1023428916976
119a33016103
12465a369040
132294bb67aa
1411c385d09a
15921cd64d6
hex57478e6f0

23428916976 has 120 divisors (see below), whose sum is σ = 61841041920. Its totient is φ = 7643197056.

The previous prime is 23428916971. The next prime is 23428916977. The reversal of 23428916976 is 67961982432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23428916971) 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 23 ways as a sum of consecutive naturals, for example, 48911905 + ... + 48912383.

It is an arithmetic number, because the mean of its divisors is an integer number (515342016).

Almost surely, 223428916976 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 23428916976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30920520960).

23428916976 is an abundant number, since it is smaller than the sum of its proper divisors (38412124944).

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

23428916976 is a wasteful number, since it uses less digits than its factorization.

23428916976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 778 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 23428916976 in words is "twenty-three billion, four hundred twenty-eight million, nine hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 227 268 402 454 479 536 681 804 908 958 1072 1362 1437 1608 1816 1916 2724 2874 3216 3632 3832 4489 5448 5748 7664 8978 10896 11496 13467 15209 17956 22992 26934 30418 32093 35912 45627 53868 60836 64186 71824 91254 96279 107736 108733 121672 128372 182508 192558 215472 217466 243344 256744 326199 365016 385116 434932 513488 652398 730032 770232 869864 1019003 1304796 1540464 1739728 2038006 2150231 2609592 3057009 4076012 4300462 5219184 6114018 6450693 7285111 8152024 8600924 12228036 12901386 14570222 16304048 17201848 21855333 24456072 25802772 29140444 34403696 43710666 48912144 51605544 58280888 87421332 103211088 116561776 174842664 349685328 488102437 976204874 1464307311 1952409748 2928614622 3904819496 5857229244 7809638992 11714458488 23428916976