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23454722745432 = 23331180891220363
BaseRepresentation
bin1010101010100111110100…
…11010101110010001011000
310002001020201221210122112000
411111103322122232101120
511033240233010323212
6121514541220121000
74640355615602616
oct525237232562130
9102036657718460
1023454722745432
117523101587760
122769823236160
131011a037876c4
145b1300d766b6
152aa1a02a51dc
hex1554fa6ae458

23454722745432 has 128 divisors (see below), whose sum is σ = 71083762272000. Its totient is φ = 7106607256320.

The previous prime is 23454722745361. The next prime is 23454722745479.

23454722745432 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 4 + 7 + 22 + 74 + 543 + 2 = 666.

23454722745432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18609283 + ... + 19829645.

It is an arithmetic number, because the mean of its divisors is an integer number (555341892750).

Almost surely, 223454722745432 is an apocalyptic number.

23454722745432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23454722745432 is an abundant number, since it is smaller than the sum of its proper divisors (47629039526568).

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

23454722745432 is a wasteful number, since it uses less digits than its factorization.

23454722745432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228478 (or 1228468 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 23454722745432 in words is "twenty-three trillion, four hundred fifty-four billion, seven hundred twenty-two million, seven hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 8089 16178 24267 32356 48534 64712 72801 88979 97068 145602 177958 194136 218403 266937 291204 355916 436806 533874 582408 711832 800811 873612 1067748 1220363 1601622 1747224 2135496 2402433 2440726 3203244 3661089 4804866 4881452 6406488 7322178 9609732 9762904 10983267 13423993 14644356 19219464 21966534 26847986 29288712 32949801 40271979 43933068 53695972 65899602 80543958 87866136 107391944 120815937 131799204 161087916 241631874 263598408 322175832 362447811 483263748 724895622 966527496 1449791244 2899582488 9871516307 19743032614 29614548921 39486065228 59229097842 78972130456 88843646763 108586679377 118458195684 177687293526 217173358754 236916391368 266530940289 325760038131 355374587052 434346717508 533061880578 651520076262 710749174104 868693435016 977280114393 1066123761156 1303040152524 1954560228786 2132247522312 2606080305048 2931840343179 3909120457572 5863680686358 7818240915144 11727361372716 23454722745432