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1861486365440 = 28513353316907
BaseRepresentation
bin11011000101101001001…
…110111100101100000000
320120221211012000011021202
4123011221032330230000
5220444311002143230
63543053253040332
7251326240015502
oct33055116745400
96527735004252
101861486365440
116584a7585039
122609280260a8
131066ca8cc670
146614c815d72
153364ca10a45
hex1b1693bcb00

1861486365440 has 144 divisors (see below), whose sum is σ = 4815447483168. Its totient is φ = 685368803328.

The previous prime is 1861486365397. The next prime is 1861486365451. The reversal of 1861486365440 is 445636841681.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5715467 + ... + 6032373.

It is an arithmetic number, because the mean of its divisors is an integer number (33440607522).

Almost surely, 21861486365440 is an apocalyptic number.

1861486365440 is a gapful number since it is divisible by the number (10) 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 1861486365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407723741584).

1861486365440 is an abundant number, since it is smaller than the sum of its proper divisors (2953961117728).

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

1861486365440 is a wasteful number, since it uses less digits than its factorization.

1861486365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317294 (or 317280 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 56.

The spelling of 1861486365440 in words is "one trillion, eight hundred sixty-one billion, four hundred eighty-six million, three hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 353 416 520 640 706 832 1040 1280 1412 1664 1765 2080 2824 3328 3530 4160 4589 5648 7060 8320 9178 11296 14120 16640 18356 22592 22945 28240 36712 45184 45890 56480 73424 90368 91780 112960 146848 183560 225920 293696 316907 367120 451840 587392 633814 734240 1174784 1267628 1468480 1584535 2535256 2936960 3169070 4119791 5070512 5873920 6338140 8239582 10141024 12676280 16479164 20282048 20598955 25352560 32958328 40564096 41197910 50705120 65916656 81128192 82395820 101410240 111868171 131833312 164791640 202820480 223736342 263666624 329583280 405640960 447472684 527333248 559340855 659166560 894945368 1054666496 1118681710 1318333120 1454286223 1789890736 2237363420 2636666240 2908572446 3579781472 4474726840 5273332480 5817144892 7159562944 7271431115 8949453680 11634289784 14319125888 14542862230 17898907360 23268579568 28638251776 29085724460 35797814720 46537159136 58171448920 71595629440 93074318272 116342897840 143191258880 186148636544 232685795680 372297273088 465371591360 930743182720 1861486365440