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10169276084 = 22112314161271
BaseRepresentation
bin10010111100010001…
…01101011010110100
3222020201021202020222
421132020231122310
5131311313313314
64401030513512
7510001264142
oct113610553264
928221252228
1010169276084
114349322700
121b79805898
13c60aa8136
146c6828592
153e7b98c8e
hex25e22d6b4

10169276084 has 144 divisors (see below), whose sum is σ = 21101316096. Its totient is φ = 4276800000.

The previous prime is 10169276069. The next prime is 10169276093. The reversal of 10169276084 is 48067296101.

10169276084 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 2×101692760842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 37524869 + ... + 37525139.

Almost surely, 210169276084 is an apocalyptic number.

It is an amenable number.

10169276084 is an abundant number, since it is smaller than the sum of its proper divisors (10932040012).

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

10169276084 is a wasteful number, since it uses less digits than its factorization.

10169276084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The spelling of 10169276084 in words is "ten billion, one hundred sixty-nine million, two hundred seventy-six thousand, eighty-four".

Divisors: 1 2 4 11 22 31 41 44 61 62 82 121 122 124 164 242 244 271 341 451 484 542 671 682 902 1084 1271 1342 1364 1804 1891 2501 2542 2684 2981 3751 3782 4961 5002 5084 5962 7381 7502 7564 8401 9922 10004 11111 11924 13981 14762 15004 16531 16802 19844 20801 22222 27511 27962 29524 32791 33062 33604 41602 44444 55022 55924 65582 66124 77531 83204 92411 110044 122221 131164 153791 155062 181841 184822 228811 244442 302621 307582 310124 344441 363682 369644 457622 488884 512461 605242 615164 677771 688882 727364 852841 915244 1016521 1024922 1210484 1344431 1355542 1377764 1705682 2000251 2033042 2049844 2688862 2711084 3411364 3788851 4000502 4066084 5377724 5637071 7455481 7577702 8001004 9381251 11274142 14910962 15155404 18762502 21010901 22548284 29821924 37525004 41677361 42021802 62007781 82010291 83354722 84043604 124015562 164020582 166709444 231119911 248031124 328041164 462239822 924479644 2542319021 5084638042 10169276084