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12382241472 = 263343166643
BaseRepresentation
bin10111000100000101…
…00000001011000000
31011221221101001002000
423202002200023000
5200324323211342
65404402224000
7615562213236
oct134202401300
934857331060
1012382241472
1152844a8317
122496955000
1312243c9003
148566bc956
154c70c744c
hex2e20a02c0

12382241472 has 112 divisors (see below), whose sum is σ = 37248266880. Its totient is φ = 4031403264.

The previous prime is 12382241467. The next prime is 12382241483. The reversal of 12382241472 is 27414228321.

12382241472 is a `hidden beast` number, since 1 + 238 + 2 + 2 + 414 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9018 + ... + 157625.

Almost surely, 212382241472 is an apocalyptic number.

12382241472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12382241472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18624133440).

12382241472 is an abundant number, since it is smaller than the sum of its proper divisors (24866025408).

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

12382241472 is a wasteful number, since it uses less digits than its factorization.

12382241472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166707 (or 166691 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 12382241472 its reverse (27414228321), we get a palindrome (39796469793).

The spelling of 12382241472 in words is "twelve billion, three hundred eighty-two million, two hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2322 2752 3096 4128 4644 6192 8256 9288 12384 18576 24768 37152 74304 166643 333286 499929 666572 999858 1333144 1499787 1999716 2666288 2999574 3999432 4499361 5332576 5999148 7165649 7998864 8998722 10665152 11998296 14331298 15997728 17997444 21496947 23996592 28662596 31995456 35994888 42993894 47993184 57325192 64490841 71989776 85987788 95986368 114650384 128981682 143979552 171975576 193472523 229300768 257963364 287959104 343951152 386945046 458601536 515926728 687902304 773890092 1031853456 1375804608 1547780184 2063706912 3095560368 4127413824 6191120736 12382241472