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20415660112350 = 23252661267725639
BaseRepresentation
bin1001010010001011001000…
…01010110011100111011110
32200021201101110022000020200
410221011210022303213132
510133442232442043400
6111230454052524330
74204661042464056
oct451054412634736
980251343260220
1020415660112350
116561261997648
1223588373206a6
13b5125b152b39
145081a2198566
152560d14d7b00
hex1291642b39de

20415660112350 has 144 divisors (see below), whose sum is σ = 54955717683360. Its totient is φ = 5433697209600.

The previous prime is 20415660112303. The next prime is 20415660112363. The reversal of 20415660112350 is 5321106651402.

20415660112350 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 5 + 6 + 601 + 12 + 35 + 0 = 666.

20415660112350 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 796260831 + ... + 796286469.

Almost surely, 220415660112350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20415660112350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27477858841680).

20415660112350 is an abundant number, since it is smaller than the sum of its proper divisors (34540057571010).

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

20415660112350 is a wasteful number, since it uses less digits than its factorization.

20415660112350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28995 (or 28987 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 20415660112350 its reverse (5321106651402), we get a palindrome (25736766763752).

The spelling of 20415660112350 in words is "twenty trillion, four hundred fifteen billion, six hundred sixty million, one hundred twelve thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 661 1322 1983 2677 3305 3966 5354 5949 6610 8031 9915 11898 13385 16062 16525 19830 24093 25639 26770 29745 33050 40155 48186 49575 51278 59490 66925 76917 80310 99150 120465 128195 133850 148725 153834 200775 230751 240930 256390 297450 384585 401550 461502 602325 640975 769170 1153755 1204650 1281950 1769497 1922925 2307510 3538994 3845850 5308491 5768775 8847485 10616982 11537550 15925473 16947379 17694970 26542455 31850946 33894758 44237425 50842137 53084910 68635603 79627365 84736895 88474850 101684274 132712275 137271206 152526411 159254730 169473790 205906809 254210685 265424550 305052822 343178015 398136825 411813618 423684475 508421370 617720427 686356030 762632055 796273650 847368950 1029534045 1235440854 1271053425 1525264110 1715890075 2059068090 2542106850 3088602135 3431780150 3813160275 5147670225 6177204270 7626320550 10295340450 15443010675 30886021350 45368133583 90736267166 136104400749 226840667915 272208801498 408313202247 453681335830 680522003745 816626404494 1134203339575 1361044007490 2041566011235 2268406679150 3402610018725 4083132022470 6805220037450 10207830056175 20415660112350