Search a number
-
+
1965017930868 = 223418289331613
BaseRepresentation
bin11100100110000100001…
…100100001110001110100
320221212001110220121120000
4130212010030201301310
5224143324042241433
64102414453511300
7261652655552226
oct34460414416164
96855043817500
101965017930868
116983a5437553
12278a00642530
131133b9c7b095
146b1708d0416
15361abce0113
hex1c984321c74

1965017930868 has 60 divisors (see below), whose sum is σ = 5137241390820. Its totient is φ = 654968187648.

The previous prime is 1965017930857. The next prime is 1965017930903. The reversal of 1965017930868 is 8680397105691.

1965017930868 is a `hidden beast` number, since 1 + 96 + 501 + 7 + 9 + 30 + 8 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1597185384804 + 367832546064 = 1263798^2 + 606492^2 .

It is a super-2 number, since 2×19650179308682 (a number of 25 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 (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5759830 + ... + 6091442.

It is an arithmetic number, because the mean of its divisors is an integer number (85620689847).

Almost surely, 21965017930868 is an apocalyptic number.

1965017930868 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1965017930868 is an abundant number, since it is smaller than the sum of its proper divisors (3172223459952).

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

1965017930868 is a wasteful number, since it uses less digits than its factorization.

1965017930868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349918 (or 349907 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 1965017930868 in words is "one trillion, nine hundred sixty-five billion, seventeen million, nine hundred thirty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 18289 36578 54867 73156 109734 164601 219468 329202 331613 493803 658404 663226 987606 994839 1326452 1481409 1975212 1989678 2962818 2984517 3979356 5925636 5969034 8953551 11938068 17907102 26860653 35814204 53721306 107442612 6064870157 12129740314 18194610471 24259480628 36389220942 54583831413 72778441884 109167662826 163751494239 218335325652 327502988478 491254482717 655005976956 982508965434 1965017930868