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20333212144542 = 23211131983797473
BaseRepresentation
bin1001001111110001100011…
…11000110001001110011110
32122222211120111220021201100
410213320301320301032132
510131114404302111132
6111124540530453530
74166011644354063
oct447706170611636
978884514807640
1020333212144542
11652a2a3196080
1223448677342a6
13b4654bb08c7b
145041c0274c6a
15253da816a37c
hex127e31e3139e

20333212144542 has 96 divisors (see below), whose sum is σ = 48476517762816. Its totient is φ = 6108316531200.

The previous prime is 20333212144519. The next prime is 20333212144561. The reversal of 20333212144542 is 24544121233302.

20333212144542 is a `hidden beast` number, since 2 + 0 + 3 + 33 + 21 + 21 + 44 + 542 = 666.

It is a super-2 number, since 2×203332121445422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20333212144497 and 20333212144506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25098318 + ... + 25895790.

It is an arithmetic number, because the mean of its divisors is an integer number (504963726696).

Almost surely, 220333212144542 is an apocalyptic number.

20333212144542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333212144542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238258881408).

20333212144542 is an abundant number, since it is smaller than the sum of its proper divisors (28143305618274).

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

20333212144542 is a wasteful number, since it uses less digits than its factorization.

20333212144542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798606 (or 798603 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20333212144542 its reverse (24544121233302), we get a palindrome (44877333377844).

The spelling of 20333212144542 in words is "twenty trillion, three hundred thirty-three billion, two hundred twelve million, one hundred forty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 786 983 1179 1441 1966 2358 2882 2949 4323 5898 8646 8847 10813 12969 17694 21626 25938 32439 64878 97317 128773 194634 257546 386319 772638 797473 1158957 1416503 1594946 2317914 2392419 2833006 4249509 4784838 7177257 8499018 8772203 12748527 14354514 17544406 25497054 26316609 52633218 78949827 104468963 157899654 208937926 313406889 626813778 783915959 940220667 1149158593 1567831918 1880441334 2298317186 2351747877 3447475779 4703495754 6894951558 7055243631 8623075549 10342427337 14110487262 17246151098 20684854674 25869226647 51738453294 77607679941 102692990629 155215359882 205385981258 308078971887 616157943774 924236915661 1129622896919 1848473831322 2259245793838 3388868690757 6777737381514 10166606072271 20333212144542