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10484019832 = 23112134311933
BaseRepresentation
bin10011100001110010…
…10111001001111000
31000001122112101111211
421300321113021320
5132432402113312
64452152532504
7520542461326
oct116071271170
930048471454
1010484019832
11449aa57300
1220470b1134
13cb1068a40
14716558d16
1541561b3a7
hex270e57278

10484019832 has 96 divisors (see below), whose sum is σ = 23335179840. Its totient is φ = 4386412800.

The previous prime is 10484019803. The next prime is 10484019839. The reversal of 10484019832 is 23891048401.

10484019832 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 not an unprimeable number, because it can be changed into a prime (10484019839) 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 23 ways as a sum of consecutive naturals, for example, 5422738 + ... + 5424670.

It is an arithmetic number, because the mean of its divisors is an integer number (243074790).

Almost surely, 210484019832 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 10484019832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667589920).

10484019832 is an abundant number, since it is smaller than the sum of its proper divisors (12851160008).

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

10484019832 is a wasteful number, since it uses less digits than its factorization.

10484019832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 10484019832 in words is "ten billion, four hundred eighty-four million, nineteen thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 121 143 242 286 431 484 572 862 968 1144 1573 1724 1933 3146 3448 3866 4741 5603 6292 7732 9482 11206 12584 15464 18964 21263 22412 25129 37928 42526 44824 50258 52151 61633 85052 100516 104302 123266 170104 201032 208604 233893 246532 276419 417208 467786 493064 552838 677963 833123 935572 1105676 1355926 1666246 1871144 2211352 2711852 3040609 3332492 5423704 6081218 6664984 9164353 10830599 12162436 18328706 21661198 24324872 36657412 43322396 73314824 86644792 100807883 119136589 201615766 238273178 403231532 476546356 806463064 953092712 1310502479 2621004958 5242009916 10484019832