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20150501000 = 235374576299
BaseRepresentation
bin10010110001000100…
…000011111010001000
31221000022201111210212
4102301010003322020
5312232012013000
613131303100252
71312230301220
oct226104037210
957008644725
1020150501000
118600483713
123aa4441688
131b91920896
14d922a1080
157ce098c35
hex4b1103e88

20150501000 has 128 divisors (see below), whose sum is σ = 54014688000. Its totient is φ = 6892531200.

The previous prime is 20150500963. The next prime is 20150501009. The reversal of 20150501000 is 10505102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (20150501009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3195851 + ... + 3202149.

It is an arithmetic number, because the mean of its divisors is an integer number (421989750).

Almost surely, 220150501000 is an apocalyptic number.

20150501000 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 20150501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27007344000).

20150501000 is an abundant number, since it is smaller than the sum of its proper divisors (33864187000).

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

20150501000 is a wasteful number, since it uses less digits than its factorization.

20150501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6784 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The spelling of 20150501000 in words is "twenty billion, one hundred fifty million, five hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 457 500 700 875 914 1000 1400 1750 1828 2285 3199 3500 3656 4570 6299 6398 7000 9140 11425 12598 12796 15995 18280 22850 25196 25592 31495 31990 44093 45700 50392 57125 62990 63980 79975 88186 91400 114250 125980 127960 157475 159950 176372 220465 228500 251960 314950 319900 352744 399875 440930 457000 629900 639800 787375 799750 881860 1102325 1259800 1574750 1599500 1763720 2204650 2878643 3149500 3199000 4409300 5511625 5757286 6299000 8818600 11023250 11514572 14393215 20150501 22046500 23029144 28786430 40301002 44093000 57572860 71966075 80602004 100752505 115145720 143932150 161204008 201505010 287864300 359830375 403010020 503762525 575728600 719660750 806020040 1007525050 1439321500 2015050100 2518812625 2878643000 4030100200 5037625250 10075250500 20150501000