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10151105490 = 234519659591
BaseRepresentation
bin10010111010000110…
…11001001111010010
3222012110002120220000
421131003121033102
5131242140333430
64355141230430
7506360654511
oct113503311722
928173076800
1010151105490
11433a041889
121b73702416
13c5a0b55c6
146c4258678
153e62a9e60
hex25d0d93d2

10151105490 has 80 divisors (see below), whose sum is σ = 28731827520. Its totient is φ = 2564485920.

The previous prime is 10151105483. The next prime is 10151105491. The reversal of 10151105490 is 9450115101.

10151105490 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 110 + 549 + 0 = 666.

10151105490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10151105491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 314406 + ... + 345185.

It is an arithmetic number, because the mean of its divisors is an integer number (359147844).

Almost surely, 210151105490 is an apocalyptic number.

10151105490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10151105490 is an abundant number, since it is smaller than the sum of its proper divisors (18580722030).

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

10151105490 is a wasteful number, since it uses less digits than its factorization.

10151105490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659629 (or 659620 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10151105490 in words is "ten billion, one hundred fifty-one million, one hundred five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 5130 7695 15390 659591 1319182 1978773 3297955 3957546 5936319 6595910 9893865 11872638 12532229 17808957 19787730 25064458 29681595 35617914 37596687 53426871 59363190 62661145 75193374 89044785 106853742 112790061 125322290 178089570 187983435 225580122 267134355 338370183 375966870 534268710 563950305 676740366 1015110549 1127900610 1691850915 2030221098 3383701830 5075552745 10151105490