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3365135568 = 243267893919
BaseRepresentation
bin1100100010010011…
…1110010011010000
322200112002121011200
43020210332103100
523342433314233
61313530311200
7146251115604
oct31044762320
98615077150
103365135568
111477593183
1279ab88500
134182399a2
1423ccd3504
1514a66c313
hexc893e4d0

3365135568 has 120 divisors (see below), whose sum is σ = 9668131200. Its totient is φ = 1092275712.

The previous prime is 3365135561. The next prime is 3365135573. The reversal of 3365135568 is 8655315633.

It is a happy number.

3365135568 is a `hidden beast` number, since 3 + 3 + 6 + 51 + 35 + 568 = 666.

It is a super-2 number, since 2×33651355682 = 22648274782037365248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365135561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856713 + ... + 860631.

It is an arithmetic number, because the mean of its divisors is an integer number (80567760).

Almost surely, 23365135568 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 3365135568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834065600).

3365135568 is an abundant number, since it is smaller than the sum of its proper divisors (6302995632).

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

3365135568 is a wasteful number, since it uses less digits than its factorization.

3365135568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4080 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 3365135568 is about 58009.7885533123. The cubic root of 3365135568 is about 1498.5371765621.

The spelling of 3365135568 in words is "three billion, three hundred sixty-five million, one hundred thirty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 89 134 144 178 201 267 268 356 402 534 536 603 712 801 804 1068 1072 1206 1424 1602 1608 2136 2412 3204 3216 3919 4272 4824 5963 6408 7838 9648 11757 11926 12816 15676 17889 23514 23852 31352 35271 35778 47028 47704 53667 62704 70542 71556 94056 95408 107334 141084 143112 188112 214668 262573 282168 286224 348791 429336 525146 564336 697582 787719 858672 1046373 1050292 1395164 1575438 2092746 2100584 2363157 2790328 3139119 3150876 4185492 4201168 4726314 5580656 6278238 6301752 8370984 9452628 12556476 12603504 16741968 18905256 23368997 25112952 37810512 46737994 50225904 70106991 93475988 140213982 186951976 210320973 280427964 373903952 420641946 560855928 841283892 1121711856 1682567784 3365135568