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20350150400 = 28525475813
BaseRepresentation
bin10010111100111101…
…101010011100000000
31221112020101202022002
4102330331222130000
5313134114303100
613203154203132
71320203265356
oct227475523400
957466352262
1020350150400
1186a3147218
123b3b2834a8
131bc40b4418
14db09d17d6
157e18842d5
hex4bcf6a700

20350150400 has 108 divisors (see below), whose sum is σ = 50470566552. Its totient is φ = 8123781120.

The previous prime is 20350150363. The next prime is 20350150409. The reversal of 20350150400 is 405105302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20350150409) 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 11 ways as a sum of consecutive naturals, for example, 3497894 + ... + 3503706.

Almost surely, 220350150400 is an apocalyptic number.

20350150400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20350150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235283276).

20350150400 is an abundant number, since it is smaller than the sum of its proper divisors (30120416152).

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

20350150400 is an equidigital number, since it uses as much as digits as its factorization.

20350150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 20350150400 its reverse (405105302), we get a palindrome (20755255702).

The spelling of 20350150400 in words is "twenty billion, three hundred fifty million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 547 640 800 1094 1280 1600 2188 2735 3200 4376 5470 5813 6400 8752 10940 11626 13675 17504 21880 23252 27350 29065 35008 43760 46504 54700 58130 70016 87520 93008 109400 116260 140032 145325 175040 186016 218800 232520 290650 350080 372032 437600 465040 581300 700160 744064 875200 930080 1162600 1488128 1750400 1860160 2325200 3179711 3500800 3720320 4650400 6359422 7440640 9300800 12718844 15898555 18601600 25437688 31797110 37203200 50875376 63594220 79492775 101750752 127188440 158985550 203501504 254376880 317971100 407003008 508753760 635942200 814006016 1017507520 1271884400 2035015040 2543768800 4070030080 5087537600 10175075200 20350150400