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20015220011024 = 2472591741924841
BaseRepresentation
bin1001000110100001010000…
…00101000011000000010000
32121212102210002121011201202
410203100220011003000100
510110412132310323044
6110322510511450332
74134023545001600
oct443205005030020
977772702534652
1020015220011024
11641745299a647
1222b31008269a8
13b225725a2514
144d2a55792c00
1524a996158c4e
hex123428143010

20015220011024 has 120 divisors (see below), whose sum is σ = 45879904792800. Its totient is φ = 8431738882560.

The previous prime is 20015220010913. The next prime is 20015220011041. The reversal of 20015220011024 is 42011002251002.

It is a junction number, because it is equal to n+sod(n) for n = 20015220010987 and 20015220011005.

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, 805720844 + ... + 805745684.

It is an arithmetic number, because the mean of its divisors is an integer number (382332539940).

Almost surely, 220015220011024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20015220011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939952396400).

20015220011024 is an abundant number, since it is smaller than the sum of its proper divisors (25864684781776).

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

20015220011024 is a wasteful number, since it uses less digits than its factorization.

20015220011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42341 (or 42328 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 20015220011024 its reverse (42011002251002), we get a palindrome (62026222262026).

The spelling of 20015220011024 in words is "twenty trillion, fifteen billion, two hundred twenty million, eleven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6608 11564 17419 23128 24841 34838 46256 49682 69676 99364 121933 139352 173887 198728 243866 278704 347774 397456 487732 695548 853531 975464 1027721 1217209 1391096 1465619 1707062 1950928 2055442 2434418 2782192 2931238 3414124 4110884 4868836 5862476 6828248 7194047 8221768 9737672 10259333 11724952 13656496 14388094 16443536 19475344 20518666 23449904 28776188 41037332 50358329 57552376 71815331 82074664 100716658 115104752 143630662 164149328 201433316 287261324 402866632 432705379 574522648 805733264 865410758 1149045296 1730821516 3028937653 3461643032 6057875306 6923286064 12115750612 21202563571 24231501224 25529617361 42405127142 48463002448 51059234722 84810254284 102118469444 169620508568 178707321527 204236938888 339241017136 357414643054 408473877776 714829286108 1250951250689 1429658572216 2501902501378 2859317144432 5003805002756 10007610005512 20015220011024