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10254545268 = 22311259119701
BaseRepresentation
bin10011000110011011…
…11111000101110100
3222110122201212120220
421203031333011310
5132000130422033
64413314254340
7512055124302
oct114315770564
928418655526
1010254545268
114392472700
121ba22873b0
13c75661986
146d3ca3272
154003ddbb3
hex26337f174

10254545268 has 72 divisors (see below), whose sum is σ = 26746214880. Its totient is φ = 3054744000.

The previous prime is 10254545267. The next prime is 10254545269. The reversal of 10254545268 is 86254545201.

It is an interprime number because it is at equal distance from previous prime (10254545267) and next prime (10254545269).

It is a super-2 number, since 2×102545452682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10254545267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25818 + ... + 145518.

Almost surely, 210254545268 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 10254545268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373107440).

10254545268 is an abundant number, since it is smaller than the sum of its proper divisors (16491669612).

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

10254545268 is a wasteful number, since it uses less digits than its factorization.

10254545268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119789 (or 119776 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The spelling of 10254545268 in words is "ten billion, two hundred fifty-four million, five hundred forty-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 121 132 177 236 242 354 363 484 649 708 726 1298 1452 1947 2596 3894 7139 7788 14278 21417 28556 42834 85668 119701 239402 359103 478804 718206 1316711 1436412 2633422 3950133 5266844 7062359 7900266 14124718 14483821 15800532 21187077 28249436 28967642 42374154 43451463 57935284 77685949 84748308 86902926 155371898 173805852 233057847 310743796 466115694 854545439 932231388 1709090878 2563636317 3418181756 5127272634 10254545268