Search a number
-
+
10425031624 = 237418535323
BaseRepresentation
bin10011011010110000…
…10101101111001000
3222220112112110220101
421231120111233020
5132322302002444
64442244335144
7516225210130
oct115530255710
928815473811
1010425031624
11446a727617
12202b3a44b4
13ca1a84487
1470c7a1ac0
154103683d4
hex26d615bc8

10425031624 has 64 divisors (see below), whose sum is σ = 22915347840. Its totient is φ = 4352970240.

The previous prime is 10425031579. The next prime is 10425031651. The reversal of 10425031624 is 42613052401.

10425031624 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 2×104250316242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10425031592 and 10425031601.

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, 1955827 + ... + 1961149.

It is an arithmetic number, because the mean of its divisors is an integer number (358052310).

Almost surely, 210425031624 is an apocalyptic number.

10425031624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10425031624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457673920).

10425031624 is an abundant number, since it is smaller than the sum of its proper divisors (12490316216).

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

10425031624 is a wasteful number, since it uses less digits than its factorization.

10425031624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6230 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10425031624 in words is "ten billion, four hundred twenty-five million, thirty-one thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 41 56 82 164 287 328 574 853 1148 1706 2296 3412 5323 5971 6824 10646 11942 21292 23884 34973 37261 42584 47768 69946 74522 139892 149044 218243 244811 279784 298088 436486 489622 872972 979244 1527701 1745944 1958488 3055402 4540519 6110804 9081038 12221608 18162076 31783633 36324152 63567266 127134532 186161279 254269064 372322558 744645116 1303128953 1489290232 2606257906 5212515812 10425031624