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64117494 = 235747401
BaseRepresentation
bin1111010010010…
…1101011110110
311110122111200000
43310211223312
5112403224434
610210132130
71405663320
oct364455366
9143574600
1064117494
1133213471
1219581046
131038c15c
148730610
155967b99
hex3d25af6

64117494 has 96 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 17884800.

The previous prime is 64117477. The next prime is 64117511. The reversal of 64117494 is 49471146.

64117494 is a `hidden beast` number, since 641 + 1 + 7 + 4 + 9 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64117477) and next prime (64117511).

It is a super-2 number, since 2×641174942 = 8222106073680072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 159694 + ... + 160094.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 264117494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64117494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

64117494 is an abundant number, since it is smaller than the sum of its proper divisors (104452362).

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

64117494 is a wasteful number, since it uses less digits than its factorization.

64117494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 64117494 is about 8007.3400077679. The cubic root of 64117494 is about 400.2446295272.

The spelling of 64117494 in words is "sixty-four million, one hundred seventeen thousand, four hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 81 94 126 141 162 189 243 282 329 378 401 423 486 567 658 802 846 987 1134 1203 1269 1701 1974 2406 2538 2807 2961 3402 3609 3807 5614 5922 7218 7614 8421 8883 10827 11421 16842 17766 18847 21654 22842 25263 26649 32481 37694 50526 53298 56541 64962 75789 79947 97443 113082 131929 151578 159894 169623 194886 227367 263858 339246 395787 454734 508869 682101 791574 1017738 1187361 1364202 1526607 2374722 3053214 3562083 4579821 7124166 9159642 10686249 21372498 32058747 64117494