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20096915040 = 25325103135497
BaseRepresentation
bin10010101101110111…
…101001011001100000
31220212120220001200200
4102231313221121200
5312124302240130
613122110345200
71311006650016
oct225567513140
956776801620
1020096915040
1185832037a4
123a8a4bb200
131b837ab207
14d891128b6
157c9511760
hex4adde9660

20096915040 has 144 divisors (see below), whose sum is σ = 69247065888. Its totient is φ = 5307107328.

The previous prime is 20096914979. The next prime is 20096915063. The reversal of 20096915040 is 4051969002.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 20096914986 and 20096915004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80572 + ... + 216068.

It is an arithmetic number, because the mean of its divisors is an integer number (480882402).

Almost surely, 220096915040 is an apocalyptic number.

20096915040 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 20096915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34623532944).

20096915040 is an abundant number, since it is smaller than the sum of its proper divisors (49150150848).

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

20096915040 is a wasteful number, since it uses less digits than its factorization.

20096915040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135621 (or 135610 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20096915040 in words is "twenty billion, ninety-six million, nine hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 103 120 144 160 180 206 240 288 309 360 412 480 515 618 720 824 927 1030 1236 1440 1545 1648 1854 2060 2472 3090 3296 3708 4120 4635 4944 6180 7416 8240 9270 9888 12360 14832 16480 18540 24720 29664 37080 49440 74160 135497 148320 270994 406491 541988 677485 812982 1083976 1219473 1354970 1625964 2032455 2167952 2438946 2709940 3251928 4064910 4335904 4877892 5419880 6097365 6503856 8129820 9755784 10839760 12194730 13007712 13956191 16259640 19511568 21679520 24389460 27912382 32519280 39023136 41868573 48778920 55824764 65038560 69780955 83737146 97557840 111649528 125605719 139561910 167474292 195115680 209342865 223299056 251211438 279123820 334948584 418685730 446598112 502422876 558247640 628028595 669897168 837371460 1004845752 1116495280 1256057190 1339794336 1674742920 2009691504 2232990560 2512114380 3349485840 4019383008 5024228760 6698971680 10048457520 20096915040