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3060290140632 = 23321712292034367
BaseRepresentation
bin101100100010000111100…
…000011011100111011000
3101211120010212210202022200
4230202013200123213120
5400114433234000012
610301513342250200
7434045561665614
oct54420740334730
911746125722280
103060290140632
11a7a95300378a
12415130b86960
1319277941532a
14a8194114344
15549126a93dc
hex2c88781b9d8

3060290140632 has 96 divisors (see below), whose sum is σ = 8782976966400. Its totient is φ = 959309356032.

The previous prime is 3060290140613. The next prime is 3060290140639. The reversal of 3060290140632 is 2360410920603.

3060290140632 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 2 + 9 + 0 + 14 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3060290140639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487113 + ... + 2521479.

It is an arithmetic number, because the mean of its divisors is an integer number (91489343400).

Almost surely, 23060290140632 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 3060290140632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391488483200).

3060290140632 is an abundant number, since it is smaller than the sum of its proper divisors (5722686825768).

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

3060290140632 is a wasteful number, since it uses less digits than its factorization.

3060290140632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035625 (or 2035618 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3060290140632 in words is "three trillion, sixty billion, two hundred ninety million, one hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1229 2458 3687 4916 7374 9832 11061 14748 20893 22122 29496 41786 44244 62679 83572 88488 125358 167144 188037 250716 376074 501432 752148 1504296 2034367 4068734 6103101 8137468 12206202 16274936 18309303 24412404 34584239 36618606 48824808 69168478 73237212 103752717 138336956 146474424 207505434 276673912 311258151 415010868 622516302 830021736 1245032604 2490065208 2500237043 5000474086 7500711129 10000948172 15001422258 20001896344 22502133387 30002844516 42504029731 45004266774 60005689032 85008059462 90008533548 127512089193 170016118924 180017067096 255024178386 340032237848 382536267579 510048356772 765072535158 1020096713544 1530145070316 3060290140632