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10670963490 = 23751144357
BaseRepresentation
bin10011111000000100…
…11111101100100010
31000112200022010000000
421330002133230202
5133323231312430
64522511440430
7525302456505
oct117402375442
930480263000
1010670963490
1145865318a0
122099826116
131010a012a5
147332dd13c
15426c46e60
hex27c09fb22

10670963490 has 128 divisors (see below), whose sum is σ = 31426755840. Its totient is φ = 2586841920.

The previous prime is 10670963477. The next prime is 10670963491. The reversal of 10670963490 is 9436907601.

10670963490 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 0 + 9 + 634 + 9 + 0 = 666.

10670963490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106709634902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10670963491) 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 63 ways as a sum of consecutive naturals, for example, 218392 + ... + 262748.

It is an arithmetic number, because the mean of its divisors is an integer number (245521530).

Almost surely, 210670963490 is an apocalyptic number.

10670963490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10670963490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713377920).

10670963490 is an abundant number, since it is smaller than the sum of its proper divisors (20755792350).

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

10670963490 is an equidigital number, since it uses as much as digits as its factorization.

10670963490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44396 (or 44378 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 10670963490 in words is "ten billion, six hundred seventy million, nine hundred sixty-three thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 243 270 297 330 405 486 495 594 729 810 891 990 1215 1458 1485 1782 2187 2430 2673 2970 3645 4374 4455 5346 7290 8019 8910 10935 13365 16038 21870 24057 26730 40095 44357 48114 80190 88714 120285 133071 221785 240570 266142 399213 443570 487927 665355 798426 975854 1197639 1330710 1463781 1996065 2395278 2439635 2927562 3592917 3992130 4391343 4879270 5988195 7185834 7318905 8782686 10778751 11976390 13174029 14637810 17964585 21557502 21956715 26348058 32336253 35929170 39522087 43913430 53893755 64672506 65870145 79044174 97008759 107787510 118566261 131740290 161681265 194017518 197610435 237132522 323362530 355698783 395220870 485043795 592831305 711397566 970087590 1067096349 1185662610 1778493915 2134192698 3556987830 5335481745 10670963490