Search a number
-
+
64151640366 = 23112376613613
BaseRepresentation
bin111011101111101111…
…000101100100101110
320010120211121222200020
4323233233011210232
52022340304442431
645245412143010
74430510642322
oct735757054456
9203524558606
1064151640366
112522aa23a00
1210524307a66
136084903318
143167ddb982
151a06e7d696
hexeefbc592e

64151640366 has 96 divisors (see below), whose sum is σ = 145098399264. Its totient is φ = 18880646400.

The previous prime is 64151640269. The next prime is 64151640379. The reversal of 64151640366 is 66304615146.

It is a super-2 number, since 2×641516403662 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 17753976 + ... + 17757588.

It is an arithmetic number, because the mean of its divisors is an integer number (1511441659).

Almost surely, 264151640366 is an apocalyptic number.

64151640366 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 64151640366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72549199632).

64151640366 is an abundant number, since it is smaller than the sum of its proper divisors (80946758898).

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

64151640366 is a wasteful number, since it uses less digits than its factorization.

64151640366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4338 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 64151640366 in words is "sixty-four billion, one hundred fifty-one million, six hundred forty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 242 363 407 661 726 814 1221 1322 1983 2442 3613 3966 4477 7226 7271 8954 10839 13431 14542 21678 21813 24457 26862 39743 43626 48914 73371 79486 79981 119229 133681 146742 159962 238458 239943 267362 269027 401043 437173 479886 538054 802086 807081 874346 1311519 1470491 1614162 2388193 2623038 2940982 2959297 4411473 4776386 5918594 7164579 8822946 8877891 14329158 16175401 17755782 26270123 32350802 48526203 52540246 78810369 88363141 97052406 157620738 176726282 265089423 288971353 530178846 577942706 866914059 971994551 1733828118 1943989102 2915983653 5831967306 10691940061 21383880122 32075820183 64151640366