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2146973850 = 23452775731
BaseRepresentation
bin111111111111000…
…0011100010011010
312112121220120110000
41333332003202122
513344111130400
6553013033430
7104126655660
oct17776034232
95477816400
102146973850
11a01a0225a
124bb025876
13282a56a38
141651d6c30
15c8745600
hex7ff8389a

2146973850 has 120 divisors (see below), whose sum is σ = 6817697568. Its totient is φ = 490730400.

The previous prime is 2146973831. The next prime is 2146973869. The reversal of 2146973850 is 583796412.

2146973850 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2146973831) and next prime (2146973869).

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

2146973850 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2146973796 and 2146973805.

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 59 ways as a sum of consecutive naturals, for example, 9516 + ... + 66215.

It is a 1-persistent number, because it is pandigital, but 2⋅2146973850 = 4293947700 is not.

Almost surely, 22146973850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2146973850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408848784).

2146973850 is an abundant number, since it is smaller than the sum of its proper divisors (4670723718).

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

2146973850 is a wasteful number, since it uses less digits than its factorization.

2146973850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75762 (or 75748 counting only the distinct ones).

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

The square root of 2146973850 is about 46335.4491723130. The cubic root of 2146973850 is about 1290.0570553456.

The spelling of 2146973850 in words is "two billion, one hundred forty-six million, nine hundred seventy-three thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 126 135 150 162 175 189 210 225 270 315 350 378 405 450 525 567 630 675 810 945 1050 1134 1350 1575 1890 2025 2835 3150 4050 4725 5670 9450 14175 28350 75731 151462 227193 378655 454386 530117 681579 757310 1060234 1135965 1363158 1590351 1893275 2044737 2271930 2650585 3180702 3407895 3786550 4089474 4771053 5301170 5679825 6134211 6815790 7951755 9542106 10223685 11359650 12268422 13252925 14313159 15903510 17039475 20447370 23855265 26505850 28626318 30671055 34078950 39758775 42939477 47710530 51118425 61342110 71565795 79517550 85878954 102236850 119276325 143131590 153355275 214697385 238552650 306710550 357828975 429394770 715657950 1073486925 2146973850