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10170426324 = 22317192990481
BaseRepresentation
bin10010111100011010…
…00110001111010100
3222020210110012002110
421132031012033110
5131312112120244
64401111311020
7510014124462
oct113615061724
928223405073
1010170426324
114349a38913
121b7a07b470
13c610bb856
146c6a47832
153e7d249b9
hex25e3463d4

10170426324 has 96 divisors (see below), whose sum is σ = 27361756800. Its totient is φ = 2918522880.

The previous prime is 10170426323. The next prime is 10170426337. The reversal of 10170426324 is 42362407101.

10170426324 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 2×101704263242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10170426291 and 10170426300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10170426323) 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 31 ways as a sum of consecutive naturals, for example, 67164 + ... + 157644.

It is an arithmetic number, because the mean of its divisors is an integer number (285018300).

Almost surely, 210170426324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10170426324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680878400).

10170426324 is an abundant number, since it is smaller than the sum of its proper divisors (17191330476).

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

10170426324 is a wasteful number, since it uses less digits than its factorization.

10170426324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90553 (or 90551 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 10170426324 in words is "ten billion, one hundred seventy million, four hundred twenty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 29 34 38 51 57 58 68 76 87 102 114 116 174 204 228 323 348 493 551 646 969 986 1102 1292 1479 1653 1938 1972 2204 2958 3306 3876 5916 6612 9367 18734 28101 37468 56202 90481 112404 180962 271443 361924 542886 1085772 1538177 1719139 2623949 3076354 3438278 4614531 5157417 5247898 6152708 6876556 7871847 9229062 10314834 10495796 15743694 18458124 20629668 29225363 31487388 44607133 49855031 58450726 87676089 89214266 99710062 116901452 133821399 149565093 175352178 178428532 199420124 267642798 299130186 350704356 535285596 598260372 847535527 1695071054 2542606581 3390142108 5085213162 10170426324