Search a number
-
+
263540362140 = 2232511133101193
BaseRepresentation
bin1111010101110000111…
…0101100101110011100
3221012020120200112002100
43311130032230232130
513304212313042030
6321022504325100
725016530055136
oct3653416545634
9835216615070
10263540362140
11a1848733790
12430ab173790
131bb0c3a82b3
14ca80c3c056
156cc6908360
hex3d5c3acb9c

263540362140 has 72 divisors (see below), whose sum is σ = 872079023088. Its totient is φ = 63888572160.

The previous prime is 263540362117. The next prime is 263540362159. The reversal of 263540362140 is 41263045362.

263540362140 is a `hidden beast` number, since 2 + 6 + 35 + 403 + 6 + 214 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 263540362095 and 263540362104.

It is a congruent number.

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, 66548617 + ... + 66552576.

It is an arithmetic number, because the mean of its divisors is an integer number (12112208654).

Almost surely, 2263540362140 is an apocalyptic number.

263540362140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263540362140 is an abundant number, since it is smaller than the sum of its proper divisors (608538660948).

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

263540362140 is a wasteful number, since it uses less digits than its factorization.

263540362140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133101219 (or 133101214 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 263540362140 in words is "two hundred sixty-three billion, five hundred forty million, three hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 133101193 266202386 399303579 532404772 665505965 798607158 1197910737 1331011930 1464113123 1597214316 1996517895 2395821474 2662023860 2928226246 3993035790 4392339369 4791642948 5856452492 5989553685 7320565615 7986071580 8784678738 11979107370 13177018107 14641131230 17569357476 21961696845 23958214740 26354036214 29282262460 43923393690 52708072428 65885090535 87846787380 131770181070 263540362140