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10154542024 = 23111093532999
BaseRepresentation
bin10010111010100001…
…00000001111001000
3222012200120011221001
421131100200033020
5131244030321044
64355343024344
7506432116534
oct113520401710
928180504831
1010154542024
114340a797a0
121b7489b0b4
13c5aa19863
146c48b0bc4
153e67382d4
hex25d4203c8

10154542024 has 64 divisors (see below), whose sum is σ = 21027600000. Its totient is φ = 4558878720.

The previous prime is 10154542019. The next prime is 10154542031. The reversal of 10154542024 is 42024545101.

It is a super-2 number, since 2×101545420242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10154541983 and 10154542001.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3384477 + ... + 3387475.

It is an arithmetic number, because the mean of its divisors is an integer number (328556250).

Almost surely, 210154542024 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 10154542024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10513800000).

10154542024 is an abundant number, since it is smaller than the sum of its proper divisors (10873057976).

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

10154542024 is a wasteful number, since it uses less digits than its factorization.

10154542024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The spelling of 10154542024 in words is "ten billion, one hundred fifty-four million, five hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 109 218 353 436 706 872 1199 1412 2398 2824 2999 3883 4796 5998 7766 9592 11996 15532 23992 31064 32989 38477 65978 76954 131956 153908 263912 307816 326891 423247 653782 846494 1058647 1307564 1692988 2117294 2615128 3385976 3595801 4234588 7191602 8469176 11645117 14383204 23290234 28766408 46580468 93160936 115392523 230785046 461570092 923140184 1269317753 2538635506 5077271012 10154542024