Search a number
-
+
10141534552 = 2317294096287
BaseRepresentation
bin10010111000111101…
…11000100101011000
3222011210002100000211
421130132320211120
5131232213101202
64354200140504
7506213423062
oct113436704530
928153070024
1010141534552
1143346a5016
121b70467734
13c58114126
146c2c86732
153e55191d7
hex25c7b8958

10141534552 has 64 divisors (see below), whose sum is σ = 20882448000. Its totient is φ = 4595920896.

The previous prime is 10141534547. The next prime is 10141534583. The reversal of 10141534552 is 25543514101.

10141534552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1609953 + ... + 1616239.

It is an arithmetic number, because the mean of its divisors is an integer number (326288250).

Almost surely, 210141534552 is an apocalyptic number.

It is an amenable number.

10141534552 is an abundant number, since it is smaller than the sum of its proper divisors (10740913448).

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

10141534552 is a wasteful number, since it uses less digits than its factorization.

10141534552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 10141534552 in words is "ten billion, one hundred forty-one million, five hundred thirty-four thousand, five hundred fifty-two".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 409 493 818 986 1636 1972 3272 3944 6287 6953 11861 12574 13906 23722 25148 27812 47444 50296 55624 94888 106879 182323 201637 213758 364646 403274 427516 729292 806548 855032 1458584 1613096 2571383 3099491 5142766 6198982 10285532 12397964 20571064 24795928 43713511 74570107 87427022 149140214 174854044 298280428 349708088 596560856 1267691819 2535383638 5070767276 10141534552