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23423232432 = 24337412711187
BaseRepresentation
bin10101110100001000…
…100010100110110000
32020110101221111100010
4111310020202212300
5340432321414212
614432133054520
71456310122245
oct256410424660
966411844303
1023423232432
119a2a893236
124658487440
132293976262
1411c2bbd5cc
1592156203c
hex5742229b0

23423232432 has 160 divisors (see below), whose sum is σ = 63949906944. Its totient is φ = 7377868800.

The previous prime is 23423232403. The next prime is 23423232439.

23423232432 is nontrivially palindromic in base 10.

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 23423232432.

It is not an unprimeable number, because it can be changed into a prime (23423232439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19732543 + ... + 19733729.

Almost surely, 223423232432 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 23423232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31974953472).

23423232432 is an abundant number, since it is smaller than the sum of its proper divisors (40526674512).

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

23423232432 is a wasteful number, since it uses less digits than its factorization.

23423232432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1541 counting only the distinct ones).

The product of its digits is 41472, while the sum is 30.

The spelling of 23423232432 in words is "twenty-three billion, four hundred twenty-three million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 271 296 328 444 492 542 592 656 813 888 984 1084 1187 1517 1626 1776 1968 2168 2374 3034 3252 3561 4336 4551 4748 6068 6504 7122 9102 9496 10027 11111 12136 13008 14244 18204 18992 20054 22222 24272 28488 30081 33333 36408 40108 43919 44444 48667 56976 60162 66666 72816 80216 87838 88888 97334 120324 131757 133332 146001 160432 175676 177776 194668 240648 263514 266664 292002 321677 351352 389336 411107 481296 527028 533328 584004 643354 702704 778672 822214 965031 1054056 1168008 1233321 1286708 1644428 1800679 1930062 2108112 2336016 2466642 2573416 3288856 3601358 3860124 4933284 5146832 5402037 6577712 7202716 7720248 9866568 10804074 11902049 13188757 14405432 15440496 19733136 21608148 23804098 26377514 28810864 35706147 39566271 43216296 47608196 52755028 71412294 79132542 86432592 95216392 105510056 142824588 158265084 190432784 211020112 285649176 316530168 487984009 571298352 633060336 975968018 1463952027 1951936036 2927904054 3903872072 5855808108 7807744144 11711616216 23423232432