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2145693870 = 2325531493019
BaseRepresentation
bin111111111100100…
…1011000010101110
312112112111112122100
41333321023002232
513343244200440
6552525355530
7104113045155
oct17771130256
95475445570
102145693870
11a01208621
124ba708ba6
132826c9258
14164d8259c
15c8591230
hex7fe4b0ae

2145693870 has 96 divisors (see below), whose sum is σ = 5724108000. Its totient is φ = 557436672.

The previous prime is 2145693857. The next prime is 2145693881. The reversal of 2145693870 is 783965412.

2145693870 is a `hidden beast` number, since 2 + 1 + 4 + 569 + 3 + 87 + 0 = 666.

2145693870 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

2145693870 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 709221 + ... + 712239.

It is an arithmetic number, because the mean of its divisors is an integer number (59626125).

It is a 1-persistent number, because it is pandigital, but 2⋅2145693870 = 4291387740 is not.

Almost surely, 22145693870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145693870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862054000).

2145693870 is an abundant number, since it is smaller than the sum of its proper divisors (3578414130).

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

2145693870 is a wasteful number, since it uses less digits than its factorization.

2145693870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2145693870 is about 46321.6350100037. The cubic root of 2145693870 is about 1289.8006362180.

The spelling of 2145693870 in words is "two billion, one hundred forty-five million, six hundred ninety-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 149 159 265 298 318 447 477 530 745 795 894 954 1341 1490 1590 2235 2385 2682 3019 4470 4770 6038 6705 7897 9057 13410 15095 15794 18114 23691 27171 30190 39485 45285 47382 54342 71073 78970 90570 118455 135855 142146 160007 236910 271710 320014 355365 449831 480021 710730 800035 899662 960042 1349493 1440063 1600070 2249155 2400105 2698986 2880126 4048479 4498310 4800210 6747465 7200315 8096958 13494930 14400630 20242395 23841043 40484790 47682086 71523129 119205215 143046258 214569387 238410430 357615645 429138774 715231290 1072846935 2145693870