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23445054432 = 2532431893173
BaseRepresentation
bin10101110101011011…
…110010001111100000
32020111221000011111100
4111311123302033200
5341003413220212
614434232514400
71456663450242
oct256533621740
966457004440
1023445054432
119a41138448
12466384ba00
132298346a97
1411c5a60092
15923422bdc
hex5756f23e0

23445054432 has 72 divisors (see below), whose sum is σ = 68222418264. Its totient is φ = 7633269504.

The previous prime is 23445054421. The next prime is 23445054461.

23445054432 is a `hidden beast` number, since 2 + 34 + 4 + 50 + 544 + 32 = 666.

23445054432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 934203 + ... + 958970.

It is an arithmetic number, because the mean of its divisors is an integer number (947533587).

Almost surely, 223445054432 is an apocalyptic number.

It is an amenable number.

23445054432 is an abundant number, since it is smaller than the sum of its proper divisors (44777363832).

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

23445054432 is a wasteful number, since it uses less digits than its factorization.

23445054432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893232 (or 1893221 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 234450 and 54432, that added together give a palindrome (288882).

The spelling of 23445054432 in words is "twenty-three billion, four hundred forty-five million, fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 1893173 3786346 5679519 7572692 11359038 15145384 17038557 22718076 30290768 34077114 45436152 60581536 68154228 81406439 90872304 136308456 162812878 181744608 244219317 272616912 325625756 488438634 545233824 651251512 732657951 976877268 1302503024 1465315902 1953754536 2605006048 2930631804 3907509072 5861263608 7815018144 11722527216 23445054432