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64155368672 = 2517676592671
BaseRepresentation
bin111011101111111101…
…010011110011100000
320010121002122101221122
4323233331103303200
52022342233244142
645250024111412
74430554431113
oct735775236340
9203532571848
1064155368672
112523204004a
1210525605568
13608560a315
1431686cc57a
151a074681d2
hexeeff53ce0

64155368672 has 96 divisors (see below), whose sum is σ = 135988554240. Its totient is φ = 29683906560.

The previous prime is 64155368663. The next prime is 64155368687. The reversal of 64155368672 is 27686355146.

It is a happy number.

It is a super-2 number, since 2×641553686722 (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 15 ways as a sum of consecutive naturals, for example, 24017897 + ... + 24020567.

It is an arithmetic number, because the mean of its divisors is an integer number (1416547440).

Almost surely, 264155368672 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 64155368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67994277120).

64155368672 is an abundant number, since it is smaller than the sum of its proper divisors (71833185568).

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

64155368672 is a wasteful number, since it uses less digits than its factorization.

64155368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3424 (or 3416 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 53.

The spelling of 64155368672 in words is "sixty-four billion, one hundred fifty-five million, three hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 67 68 134 136 268 272 536 544 659 1072 1139 1318 2144 2278 2636 2671 4556 5272 5342 9112 10544 10684 11203 18224 21088 21368 22406 36448 42736 44153 44812 45407 85472 88306 89624 90814 176612 178957 179248 181628 353224 357914 358496 363256 706448 715828 726512 750601 1412896 1431656 1453024 1501202 1760189 2863312 3002404 3042269 3520378 5726624 6004808 6084538 7040756 12009616 12169076 14081512 24019232 24338152 28163024 29923213 48676304 56326048 59846426 97352608 117932663 119692852 235865326 239385704 471730652 478771408 943461304 957542816 1886922608 2004855271 3773845216 4009710542 8019421084 16038842168 32077684336 64155368672