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23046167716 = 221121323163977
BaseRepresentation
bin10101011101101010…
…001001110010100100
32012111010102121210021
4111131222021302210
5334144304331331
614330503204524
71444051123225
oct253552116244
965433377707
1023046167716
119856a62a00
124572146744
132233805140
141188aa924c
158ed3ce211
hex55da89ca4

23046167716 has 144 divisors (see below), whose sum is σ = 50173183872. Its totient is φ = 9183144960.

The previous prime is 23046167713. The next prime is 23046167747. The reversal of 23046167716 is 61776164032.

It is a super-2 number, since 2×230461677162 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23046167713) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 23588220 + ... + 23589196.

It is an arithmetic number, because the mean of its divisors is an integer number (348424888).

Almost surely, 223046167716 is an apocalyptic number.

23046167716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

23046167716 is an abundant number, since it is smaller than the sum of its proper divisors (27127016156).

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

23046167716 is a wasteful number, since it uses less digits than its factorization.

23046167716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 23046167716 in words is "twenty-three billion, forty-six million, one hundred sixty-seven thousand, seven hundred sixteen".

Divisors: 1 2 4 11 13 22 23 26 44 46 52 92 121 143 163 242 253 286 299 326 484 506 572 598 652 977 1012 1196 1573 1793 1954 2119 2783 3146 3289 3586 3749 3908 4238 5566 6292 6578 7172 7498 8476 10747 11132 12701 13156 14996 19723 21494 22471 23309 25402 36179 39446 41239 42988 44942 46618 48737 50804 72358 78892 82478 89884 93236 97474 118217 139711 144716 159251 164956 194948 236434 247181 256399 279422 292123 318502 453629 472868 494362 512798 536107 558844 584246 637004 907258 988724 1025596 1072214 1168492 1536821 1751761 1814516 2070263 2144428 2718991 3073642 3213353 3503522 3662773 4140526 5437982 5897177 6147284 6426706 7007044 7325546 8281052 10875964 11794354 12853412 14651092 19269371 22772893 23588708 35346883 38538742 40290503 45545786 47616049 70693766 77077484 80581006 91091572 95232098 141387532 161162012 190464196 250501823 443195533 501003646 523776539 886391066 1002007292 1047553078 1772782132 2095106156 5761541929 11523083858 23046167716