Search a number
-
+
10542290364 = 22321631796573
BaseRepresentation
bin10011101000101111…
…01001010110111100
31000012201011211122200
421310113221112330
5133042311242424
64502033511500
7522150663264
oct116427512674
930181154580
1010542290364
11451a936871
122062712590
13cc015b748
147201a67a4
1541a7cb8c9
hex2745e95bc

10542290364 has 36 divisors (see below), whose sum is σ = 26812070376. Its totient is φ = 3492535968.

The previous prime is 10542290357. The next prime is 10542290377. The reversal of 10542290364 is 46309224501.

It is a happy number.

10542290364 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 290 + 364 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105422903642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 892419 + ... + 904154.

Almost surely, 210542290364 is an apocalyptic number.

It is an amenable number.

10542290364 is an abundant number, since it is smaller than the sum of its proper divisors (16269780012).

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

10542290364 is a wasteful number, since it uses less digits than its factorization.

10542290364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796746 (or 1796741 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10542290364 in words is "ten billion, five hundred forty-two million, two hundred ninety thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 1796573 3593146 5389719 7186292 10779438 16169157 21558876 32338314 64676628 292841399 585682798 878524197 1171365596 1757048394 2635572591 3514096788 5271145182 10542290364