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23823640554 = 2373311512473
BaseRepresentation
bin10110001011111111…
…111110011111101010
32021111022101100000120
4112023333332133222
5342242322444204
614535555144110
71502241414000
oct261377763752
967438340016
1023823640554
11a11590783a
12474a5a5036
1323288cb53c
14122004ca70
159467a66d9
hex58bffe7ea

23823640554 has 128 divisors (see below), whose sum is σ = 57760972800. Its totient is φ = 6540912000.

The previous prime is 23823640553. The next prime is 23823640571. The reversal of 23823640554 is 45504632832.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23823640553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9632262 + ... + 9634734.

It is an arithmetic number, because the mean of its divisors is an integer number (451257600).

Almost surely, 223823640554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23823640554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28880486400).

23823640554 is an abundant number, since it is smaller than the sum of its proper divisors (33937332246).

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

23823640554 is a wasteful number, since it uses less digits than its factorization.

23823640554 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 23823640554 in words is "twenty-three billion, eight hundred twenty-three million, six hundred forty thousand, five hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 151 186 217 294 302 343 434 453 651 686 906 1029 1057 1302 1519 2058 2114 2473 3038 3171 4557 4681 4946 6342 7399 7419 9114 9362 10633 14043 14798 14838 17311 21266 22197 28086 31899 32767 34622 44394 51793 51933 63798 65534 76663 98301 103586 103866 121177 153326 155379 196602 229369 229989 242354 310758 363531 373423 458738 459978 536641 688107 727062 746846 848239 1073282 1120269 1376214 1605583 1609923 1696478 2240538 2544717 2613961 3211166 3219846 3756487 4816749 5089434 5227922 7512974 7841883 9633498 11269461 11576113 15683766 18297727 22538922 23152226 26295409 34728339 36595454 52590818 54893181 69456678 78886227 81032791 109786362 128084089 157772454 162065582 243098373 256168178 384252267 486196746 567229537 768504534 1134459074 1701688611 3403377222 3970606759 7941213518 11911820277 23823640554