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491211112112 = 24741677321871
BaseRepresentation
bin1110010010111100111…
…01101011111010110000
31201221220100100221121022
413021132131223322300
531022000021041422
61013354222515012
750326445363450
oct7113635537260
91657810327538
10491211112112
1117a359959996
127b249735a68
13374233458b6
1419abbc83d60
15cb9e258342
hex725e76beb0

491211112112 has 160 divisors (see below), whose sum is σ = 1146383960064. Its totient is φ = 199538380800.

The previous prime is 491211112081. The next prime is 491211112129. The reversal of 491211112112 is 211211112194.

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, 22448537 + ... + 22470407.

Almost surely, 2491211112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491211112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573191980032).

491211112112 is an abundant number, since it is smaller than the sum of its proper divisors (655172847952).

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

491211112112 is a wasteful number, since it uses less digits than its factorization.

491211112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22061 counting only the distinct ones).

The product of its digits is 288, while the sum is 26.

The spelling of 491211112112 in words is "four hundred ninety-one billion, two hundred eleven million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 41 56 67 73 82 112 134 146 164 268 287 292 328 469 511 536 574 584 656 938 1022 1072 1148 1168 1876 2044 2296 2747 2993 3752 4088 4592 4891 5494 5986 7504 8176 9782 10988 11972 19229 19564 20951 21871 21976 23944 34237 38458 39128 41902 43742 43952 47888 68474 76916 78256 83804 87484 136948 153097 153832 167608 174968 200531 273896 306194 307664 335216 349936 401062 547792 612388 802124 896711 1224776 1403717 1465357 1596583 1604248 1793422 2449552 2807434 2930714 3193166 3208496 3586844 5614868 5861428 6276977 6386332 7173688 10257499 11176081 11229736 11722856 12553954 12772664 14347376 20514998 22352162 22459472 23445712 25107908 25545328 41029996 44704324 50215816 60079637 65459903 82059992 89408648 100431632 106971061 120159274 130919806 164119984 178817296 213942122 240318548 261839612 420557459 427884244 458219321 480637096 523679224 748797427 841114918 855768488 916438642 961274192 1047358448 1497594854 1682229836 1711536976 1832877284 2995189708 3364459672 3665754568 4385813501 5990379416 6728919344 7331509136 8771627002 11980758832 17543254004 30700694507 35086508008 61401389014 70173016016 122802778028 245605556056 491211112112