Search a number
-
+
10214575504 = 247386323609
BaseRepresentation
bin10011000001101011…
…00000110110010000
3222100212112012101021
421200311200312100
5131404412404004
64405325445224
7511061313340
oct114065406620
928325465337
1010214575504
114371952841
121b90a10814
13c6a2a8b23
146cc85ad20
153ebb45d54
hex260d60d90

10214575504 has 40 divisors (see below), whose sum is σ = 22624801920. Its totient is φ = 4376356608.

The previous prime is 10214575493. The next prime is 10214575507. The reversal of 10214575504 is 40557541201.

It is a self number, because there is not a number n which added to its sum of digits gives 10214575504.

It is not an unprimeable number, because it can be changed into a prime (10214575507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420852 + ... + 444460.

It is an arithmetic number, because the mean of its divisors is an integer number (565620048).

Almost surely, 210214575504 is an apocalyptic number.

10214575504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10214575504 is an abundant number, since it is smaller than the sum of its proper divisors (12410226416).

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

10214575504 is a wasteful number, since it uses less digits than its factorization.

10214575504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27487 (or 27481 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 34.

The spelling of 10214575504 in words is "ten billion, two hundred fourteen million, five hundred seventy-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 3863 7726 15452 23609 27041 30904 47218 54082 61808 94436 108164 165263 188872 216328 330526 377744 432656 661052 1322104 2644208 91201567 182403134 364806268 638410969 729612536 1276821938 1459225072 2553643876 5107287752 10214575504