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23531451264 = 2735756541
BaseRepresentation
bin10101111010100101…
…010111001110000000
32020201221120120200000
4111322211113032000
5341143022420024
614451000400000
71462063015116
oct257245271600
966657516600
1023531451264
119a85988692
124688776000
1322b0206979
1411d330dab6
1592acdbcc9
hex57a957380

23531451264 has 96 divisors (see below), whose sum is σ = 70222228440. Its totient is φ = 7843806720.

The previous prime is 23531451239. The next prime is 23531451277. The reversal of 23531451264 is 46215413532.

23531451264 is a `hidden beast` number, since 2 + 35 + 314 + 51 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347167 + ... + 409374.

Almost surely, 223531451264 is an apocalyptic number.

23531451264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23531451264 is an abundant number, since it is smaller than the sum of its proper divisors (46690777176).

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

23531451264 is an frugal number, since it uses more digits than its factorization.

23531451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756570 (or 756546 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 23531451264 its reverse (46215413532), we get a palindrome (69746864796).

The spelling of 23531451264 in words is "twenty-three billion, five hundred thirty-one million, four hundred fifty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3888 5184 7776 10368 15552 31104 756541 1513082 2269623 3026164 4539246 6052328 6808869 9078492 12104656 13617738 18156984 20426607 24209312 27235476 36313968 40853214 48418624 54470952 61279821 72627936 81706428 96837248 108941904 122559642 145255872 163412856 183839463 217883808 245119284 290511744 326825712 367678926 435767616 490238568 653651424 735357852 871535232 980477136 1307302848 1470715704 1960954272 2614605696 2941431408 3921908544 5882862816 7843817088 11765725632 23531451264