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20413515116412 = 223211435212300999
BaseRepresentation
bin1001010010000111001000…
…10100010010111101111100
32200021111211222002220222200
410221003210110102331330
510133423334332211122
6111225501150111500
74204553635353435
oct451034424227574
980244758086880
1020413515116412
116560361116430
122358338aab590
13b50ca893c482
1450803b35848c
152560080335ac
hex1290e4512f7c

20413515116412 has 144 divisors (see below), whose sum is σ = 57711509856000. Its totient is φ = 6030455558400.

The previous prime is 20413515116311. The next prime is 20413515116507. The reversal of 20413515116412 is 21461151531402.

20413515116412 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 5 + 1 + 5 + 1 + 1 + 641 + 2 = 666.

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

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, 7721089 + ... + 10022087.

It is an arithmetic number, because the mean of its divisors is an integer number (400774374000).

Almost surely, 220413515116412 is an apocalyptic number.

20413515116412 is a gapful number since it is divisible by the number (22) 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 20413515116412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28855754928000).

20413515116412 is an abundant number, since it is smaller than the sum of its proper divisors (37297994739588).

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

20413515116412 is a wasteful number, since it uses less digits than its factorization.

20413515116412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301584 (or 2301579 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 20413515116412 its reverse (21461151531402), we get a palindrome (41874666647814).

The spelling of 20413515116412 in words is "twenty trillion, four hundred thirteen billion, five hundred fifteen million, one hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 521 774 946 1042 1419 1548 1563 1892 2084 2838 3126 4257 4689 5676 5731 6252 8514 9378 11462 17028 17193 18756 22403 22924 34386 44806 51579 67209 68772 89612 103158 134418 201627 206316 246433 268836 403254 492866 739299 806508 985732 1478598 2217897 2300999 2957196 4435794 4601998 6902997 8871588 9203996 13805994 20708991 25310989 27611988 41417982 50621978 75932967 82835964 98942957 101243956 151865934 197885914 227798901 296828871 303731868 395771828 455597802 593657742 890486613 911195604 1088372527 1187315484 1198820479 1780973226 2176745054 2397640958 3265117581 3561946452 3596461437 4353490108 4795281916 6530235162 7192922874 9795352743 10789384311 13060470324 13187025269 14385845748 19590705486 21578768622 26374050538 39181410972 39561075807 43157537244 51549280597 52748101076 79122151614 103098561194 118683227421 154647841791 158244303228 206197122388 237366454842 309295683582 463943525373 474732909684 567042086567 618591367164 927887050746 1134084173134 1701126259701 1855774101492 2268168346268 3402252519402 5103378779103 6804505038804 10206757558206 20413515116412