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11868351552 = 263324128499
BaseRepresentation
bin10110000110110100…
…01010110001000000
31010122010101201122000
423003122022301000
5143301244222202
65241403544000
7600052216011
oct130332126100
933563351560
1011868351552
115040414202
12237282b000
131171abc935
1480834d008
15496e1891c
hex2c368ac40

11868351552 has 112 divisors (see below), whose sum is σ = 35036760000. Its totient is φ = 3939563520.

The previous prime is 11868351541. The next prime is 11868351553. The reversal of 11868351552 is 25515386811.

11868351552 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 83 + 515 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11868351498 and 11868351507.

It is not an unprimeable number, because it can be changed into a prime (11868351553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402199 + ... + 430697.

Almost surely, 211868351552 is an apocalyptic number.

11868351552 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 11868351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518380000).

11868351552 is an abundant number, since it is smaller than the sum of its proper divisors (23168408448).

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

11868351552 is a wasteful number, since it uses less digits than its factorization.

11868351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28761 (or 28745 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The spelling of 11868351552 in words is "eleven billion, eight hundred sixty-eight million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 241 288 432 482 576 723 864 964 1446 1728 1928 2169 2892 3856 4338 5784 6507 7712 8676 11568 13014 15424 17352 23136 26028 28499 34704 46272 52056 56998 69408 85497 104112 113996 138816 170994 208224 227992 256491 341988 416448 455984 512982 683976 769473 911968 1025964 1367952 1538946 1823936 2051928 2735904 3077892 4103856 5471808 6155784 6868259 8207712 12311568 13736518 16415424 20604777 24623136 27473036 41209554 49246272 54946072 61814331 82419108 109892144 123628662 164838216 185442993 219784288 247257324 329676432 370885986 439568576 494514648 659352864 741771972 989029296 1318705728 1483543944 1978058592 2967087888 3956117184 5934175776 11868351552