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6491162106 = 23211133181349
BaseRepresentation
bin1100000101110011…
…10100010111111010
3121202101021012102100
412002321310113322
5101243214141411
62552040044230
7316566652602
oct60271642772
917671235370
106491162106
112831101190
121311a63676
137c5a78230
14458143c02
1527ed07456
hex182e745fa

6491162106 has 96 divisors (see below), whose sum is σ = 17056166400. Its totient is φ = 1757116800.

The previous prime is 6491162099. The next prime is 6491162113. The reversal of 6491162106 is 6012611946.

6491162106 is a `hidden beast` number, since 6 + 491 + 1 + 62 + 106 = 666.

It is an interprime number because it is at equal distance from previous prime (6491162099) and next prime (6491162113).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39120 + ... + 120468.

It is an arithmetic number, because the mean of its divisors is an integer number (177668400).

Almost surely, 26491162106 is an apocalyptic number.

6491162106 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6491162106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8528083200).

6491162106 is an abundant number, since it is smaller than the sum of its proper divisors (10565004294).

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

6491162106 is a wasteful number, since it uses less digits than its factorization.

6491162106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81412 (or 81409 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6491162106 is about 80567.7485474182. The cubic root of 6491162106 is about 1865.4093604586.

The spelling of 6491162106 in words is "six billion, four hundred ninety-one million, one hundred sixty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 31 33 39 62 66 78 93 99 117 143 186 198 234 279 286 341 403 429 558 682 806 858 1023 1209 1287 2046 2418 2574 3069 3627 4433 6138 7254 8866 13299 26598 39897 79794 81349 162698 244047 488094 732141 894839 1057537 1464282 1789678 2115074 2521819 2684517 3172611 5043638 5369034 6345222 7565457 8053551 9517833 11632907 15130914 16107102 19035666 22696371 23265814 27740009 32783647 34898721 45392742 55480018 65567294 69797442 83220027 98350941 104696163 166440054 196701882 209392326 249660081 295052823 360620117 499320162 590105646 721240234 1081860351 2163720702 3245581053 6491162106