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23123424432 = 2435914954799
BaseRepresentation
bin10101100010010000…
…110111010010110000
32012200111210200002010
4111202100313102300
5334324044040212
614342303122520
71446006602403
oct254220672260
965614720063
1023123424432
119896630029
124593ba3440
132246814984
141195059d3a
1590509003c
hex5624374b0

23123424432 has 80 divisors (see below), whose sum is σ = 61156800000. Its totient is φ = 7526176512.

The previous prime is 23123424407. The next prime is 23123424437. The reversal of 23123424432 is 23442432132.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23123424432.

It is not an unprimeable number, because it can be changed into a prime (23123424437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394569 + ... + 449367.

It is an arithmetic number, because the mean of its divisors is an integer number (764460000).

Almost surely, 223123424432 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 23123424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30578400000).

23123424432 is an abundant number, since it is smaller than the sum of its proper divisors (38033375568).

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

23123424432 is a wasteful number, since it uses less digits than its factorization.

23123424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55018 (or 55012 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 23123424432 its reverse (23442432132), we get a palindrome (46565856564).

The spelling of 23123424432 in words is "twenty-three billion, one hundred twenty-three million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 149 177 236 298 354 447 472 596 708 894 944 1192 1416 1788 2384 2832 3576 7152 8791 17582 26373 35164 52746 54799 70328 105492 109598 140656 164397 210984 219196 328794 421968 438392 657588 876784 1315176 2630352 3233141 6466282 8165051 9699423 12932564 16330102 19398846 24495153 25865128 32660204 38797692 48990306 51730256 65320408 77595384 97980612 130640816 155190768 195961224 391922448 481738009 963476018 1445214027 1926952036 2890428054 3853904072 5780856108 7707808144 11561712216 23123424432