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9072878490 = 23251343317909
BaseRepresentation
bin10000111001100100…
…10010001110011010
3212102022012222111200
420130302102032122
5122040124102430
64100143135030
7440556123534
oct103462221632
925368188450
109072878490
113936448995
1219125a4476
13b178b9070
14620d86854
153817c5460
hex21cc9239a

9072878490 has 96 divisors (see below), whose sum is σ = 25464151440. Its totient is φ = 2228041728.

The previous prime is 9072878489. The next prime is 9072878519. The reversal of 9072878490 is 948782709.

9072878490 is a `hidden beast` number, since 9 + 0 + 72 + 87 + 8 + 490 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 628555041 + 8444323449 = 25071^2 + 91893^2 .

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, 497656 + ... + 515564.

Almost surely, 29072878490 is an apocalyptic number.

9072878490 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9072878490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12732075720).

9072878490 is an abundant number, since it is smaller than the sum of its proper divisors (16391272950).

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

9072878490 is a wasteful number, since it uses less digits than its factorization.

9072878490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18368 (or 18365 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9072878490 is about 95251.6587257146. The cubic root of 9072878490 is about 2085.6833051877.

The spelling of 9072878490 in words is "nine billion, seventy-two million, eight hundred seventy-eight thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 433 585 866 1170 1299 2165 2598 3897 4330 5629 6495 7794 11258 12990 16887 17909 19485 28145 33774 35818 38970 50661 53727 56290 84435 89545 101322 107454 161181 168870 179090 232817 253305 268635 322362 465634 506610 537270 698451 805905 1164085 1396902 1611810 2095353 2328170 3492255 4190706 6984510 7754597 10476765 15509194 20953530 23263791 38772985 46527582 69791373 77545970 100809761 116318955 139582746 201619522 232637910 302429283 348956865 504048805 604858566 697913730 907287849 1008097610 1512146415 1814575698 3024292830 4536439245 9072878490