Search a number
-
+
261501411640 = 23573725241449
BaseRepresentation
bin1111001110001010110…
…0101110000100111000
3220222222111001002211011
43303202230232010320
513241023330133030
6320044310443304
724615151216060
oct3634254560470
9828874032734
10261501411640
11a09a1803027
1242820363534
131b875b44001
14c92a1243a0
156c078eeb2a
hex3ce2b2e138

261501411640 has 64 divisors (see below), whose sum is σ = 690606072000. Its totient is φ = 87234444288.

The previous prime is 261501411539. The next prime is 261501411641. The reversal of 261501411640 is 46114105162.

261501411640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261501411641) by changing a digit.

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, 12610365 + ... + 12631084.

It is an arithmetic number, because the mean of its divisors is an integer number (10790719875).

Almost surely, 2261501411640 is an apocalyptic number.

261501411640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261501411640 is an abundant number, since it is smaller than the sum of its proper divisors (429104660360).

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

261501411640 is a wasteful number, since it uses less digits than its factorization.

261501411640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25241504 (or 25241500 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 261501411640 in words is "two hundred sixty-one billion, five hundred one million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 25241449 50482898 100965796 126207245 176690143 201931592 252414490 353380286 504828980 706760572 883450715 933933613 1009657960 1413521144 1766901430 1867867226 3533802860 3735734452 4669668065 6537535291 7067605720 7471468904 9339336130 13075070582 18678672260 26150141164 32687676455 37357344520 52300282328 65375352910 130750705820 261501411640