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23446064432 = 2476183173239
BaseRepresentation
bin10101110101011111…
…101000110100110000
32020111222220110221202
4111311133220310300
5341004143030212
614434310310332
71460005154660
oct256537506460
966458813852
1023446064432
119a4176825a
1246640583a8
13229860b70b
1411c5c441a0
159235720c2
hex5757e8d30

23446064432 has 160 divisors (see below), whose sum is σ = 53936547840. Its totient is φ = 9667445760.

The previous prime is 23446064431. The next prime is 23446064441.

23446064432 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (23446064431) 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 31 ways as a sum of consecutive naturals, for example, 98100569 + ... + 98100807.

It is an arithmetic number, because the mean of its divisors is an integer number (337103424).

Almost surely, 223446064432 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 23446064432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26968273920).

23446064432 is an abundant number, since it is smaller than the sum of its proper divisors (30490483408).

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

23446064432 is a wasteful number, since it uses less digits than its factorization.

23446064432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 234460 and 64432, that added together give a palindrome (298892).

The spelling of 23446064432 in words is "twenty-three billion, four hundred forty-six million, sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 61 83 112 122 166 173 239 244 332 346 427 478 488 581 664 692 854 956 976 1162 1211 1328 1384 1673 1708 1912 2324 2422 2768 3346 3416 3824 4648 4844 5063 6692 6832 9296 9688 10126 10553 13384 14359 14579 19376 19837 20252 21106 26768 28718 29158 35441 39674 40504 41347 42212 57436 58316 70882 73871 79348 81008 82694 84424 100513 102053 114872 116632 138859 141764 147742 158696 165388 168848 201026 204106 229744 233264 277718 283528 289429 295484 317392 330776 402052 408212 555436 567056 578858 590968 661552 804104 816424 875899 1110872 1157716 1181936 1210057 1608208 1632848 1751798 2221744 2315432 2420114 2522167 3431801 3503596 4630864 4840228 5044334 6131293 6863602 7007192 8470399 9680456 10088668 12262586 13727204 14014384 16940798 17655169 19360912 20177336 24022607 24525172 27454408 33881596 35310338 40354672 48045214 49050344 54908816 67763192 70620676 96090428 98100688 135526384 141241352 192180856 209339861 282482704 384361712 418679722 837359444 1465379027 1674718888 2930758054 3349437776 5861516108 11723032216 23446064432