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20380194252 = 223211173027361
BaseRepresentation
bin10010111110110000…
…010001010111001100
31221121022221010201100
4102332300101113030
5313214312204002
613210150143100
71321016535645
oct227660212714
957538833640
1020380194252
1187090a7650
123b49351a90
131bca3a3352
14db49b26cc
157e431b11c
hex4bec115cc

20380194252 has 72 divisors (see below), whose sum is σ = 59505827472. Its totient is φ = 5812531200.

The previous prime is 20380194209. The next prime is 20380194259. The reversal of 20380194252 is 25249108302.

It is a happy number.

20380194252 is a `hidden beast` number, since 20 + 380 + 1 + 9 + 4 + 252 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20380194259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1506949 + ... + 1520412.

It is an arithmetic number, because the mean of its divisors is an integer number (826469826).

Almost surely, 220380194252 is an apocalyptic number.

20380194252 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20380194252 is an abundant number, since it is smaller than the sum of its proper divisors (39125633220).

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

20380194252 is a wasteful number, since it uses less digits than its factorization.

20380194252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027399 (or 3027394 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20380194252 in words is "twenty billion, three hundred eighty million, one hundred ninety-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 3027361 6054722 9082083 12109444 18164166 27246249 33300971 36328332 51465137 54492498 66601942 99902913 102930274 108984996 133203884 154395411 199805826 205860548 299708739 308790822 399611652 463186233 566116507 599417478 617581644 926372466 1132233014 1198834956 1698349521 1852744932 2264466028 3396699042 5095048563 6793398084 10190097126 20380194252