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2147893650 = 2325274116631
BaseRepresentation
bin1000000000000110…
…0100000110010010
312112200122022011200
42000001210012102
513344330044100
6553044452030
7104140536420
oct20001440622
95480568150
102147893650
11a02480321
124bb3aa016
13282cb95b6
14165396110
15c8877e00
hex80064192

2147893650 has 144 divisors (see below), whose sum is σ = 6756317568. Its totient is φ = 478944000.

The previous prime is 2147893603. The next prime is 2147893651. The reversal of 2147893650 is 563987412.

2147893650 is a `hidden beast` number, since 214 + 78 + 9 + 365 + 0 = 666.

2147893650 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21478936502 = 9226894263420645000, which contains 22 as substring.

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

2147893650 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2147893596 and 2147893605.

It is not an unprimeable number, because it can be changed into a prime (2147893651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 120835 + ... + 137465.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

It is a 1-persistent number, because it is pandigital, but 2⋅2147893650 = 4295787300 is not.

Almost surely, 22147893650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147893650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378158784).

2147893650 is an abundant number, since it is smaller than the sum of its proper divisors (4608423918).

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

2147893650 is a wasteful number, since it uses less digits than its factorization.

2147893650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16697 (or 16689 counting only the distinct ones).

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

The square root of 2147893650 is about 46345.3735555125. The cubic root of 2147893650 is about 1290.2412564817.

The spelling of 2147893650 in words is "two billion, one hundred forty-seven million, eight hundred ninety-three thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 41 42 45 50 63 70 75 82 90 105 123 126 150 175 205 210 225 246 287 315 350 369 410 450 525 574 615 630 738 861 1025 1050 1230 1435 1575 1722 1845 2050 2583 2870 3075 3150 3690 4305 5166 6150 7175 8610 9225 12915 14350 16631 18450 21525 25830 33262 43050 49893 64575 83155 99786 116417 129150 149679 166310 232834 249465 299358 349251 415775 498930 582085 681871 698502 748395 831550 1047753 1164170 1247325 1363742 1496790 1746255 2045613 2095506 2494650 2910425 3409355 3492510 3741975 4091226 4773097 5238765 5820850 6136839 6818710 7483950 8731275 9546194 10228065 10477530 12273678 14319291 17046775 17462550 20456130 23865485 26193825 28638582 30684195 34093550 42957873 47730970 51140325 52387650 61368390 71596455 85915746 102280650 119327425 143192910 153420975 214789365 238654850 306841950 357982275 429578730 715964550 1073946825 2147893650