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10490061240 = 2332583569617
BaseRepresentation
bin10011100010100000…
…11010000110111000
31000002001220022202200
421301100122012320
5132440423424430
64452530230200
7520645022631
oct116120320670
930061808680
1010490061240
1144a34032aa
122049125360
13cb23a2839
1471728c888
15415e11460
hex27141a1b8

10490061240 has 192 divisors, whose sum is σ = 34620112800. Its totient is φ = 2754318336.

The previous prime is 10490061233. The next prime is 10490061277. The reversal of 10490061240 is 4216009401.

10490061240 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 0 + 0 + 612 + 40 = 666.

It is a Cunningham number, because it is equal to 1024212-1.

It is a super-2 number, since 2×104900612402 (a number of 21 digits) contains 22 as substring.

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, 17001412 + ... + 17002028.

Almost surely, 210490061240 is an apocalyptic number.

10490061240 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 10490061240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17310056400).

10490061240 is an abundant number, since it is smaller than the sum of its proper divisors (24130051560).

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

10490061240 is a wasteful number, since it uses less digits than its factorization.

10490061240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10490061240 in words is "ten billion, four hundred ninety million, sixty-one thousand, two hundred forty".