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20050526040 = 23351974491889
BaseRepresentation
bin10010101011000110…
…101011111101011000
31220202100121020221120
4102223012223331120
5312030413313130
613113332205240
71306604442066
oct225306537530
956670536846
1020050526040
118559aa9a86
123a76a69820
131b76cb85bc
14d82cb9036
157c53eb910
hex4ab1abf58

20050526040 has 128 divisors (see below), whose sum is σ = 60623640000. Its totient is φ = 5305008128.

The previous prime is 20050525981. The next prime is 20050526063. The reversal of 20050526040 is 4062505002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20050526040.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10613416 + ... + 10615304.

Almost surely, 220050526040 is an apocalyptic number.

20050526040 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 20050526040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30311820000).

20050526040 is an abundant number, since it is smaller than the sum of its proper divisors (40573113960).

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

20050526040 is a wasteful number, since it uses less digits than its factorization.

20050526040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2549 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 20050526040 in words is "twenty billion, fifty million, five hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 197 394 449 591 788 898 985 1182 1347 1576 1796 1889 1970 2245 2364 2694 2955 3592 3778 3940 4490 4728 5388 5667 5910 6735 7556 7880 8980 9445 10776 11334 11820 13470 15112 17960 18890 22668 23640 26940 28335 37780 45336 53880 56670 75560 88453 113340 176906 226680 265359 353812 372133 442265 530718 707624 744266 848161 884530 1061436 1116399 1326795 1488532 1696322 1769060 1860665 2122872 2232798 2544483 2653590 2977064 3392644 3538120 3721330 4240805 4465596 5088966 5307180 5581995 6785288 7442660 8481610 8931192 10177932 10614360 11163990 12722415 14885320 16963220 20355864 22327980 25444830 33926440 44655960 50889660 101779320 167087717 334175434 501263151 668350868 835438585 1002526302 1336701736 1670877170 2005052604 2506315755 3341754340 4010105208 5012631510 6683508680 10025263020 20050526040