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10203256644 = 2237294219949
BaseRepresentation
bin10011000000010100…
…10101011101000100
3222100002020010211020
421200022111131010
5131344013203034
64404243111140
7510563151630
oct114012253504
928302203736
1010203256644
114366521809
121b890724b0
13c67b44b89
146cb151dc0
153eab5c249
hex260295744

10203256644 has 96 divisors (see below), whose sum is σ = 28216608000. Its totient is φ = 2807723520.

The previous prime is 10203256621. The next prime is 10203256663. The reversal of 10203256644 is 44665230201.

It is a super-2 number, since 2×102032566442 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 1020582 + ... + 1030530.

It is an arithmetic number, because the mean of its divisors is an integer number (293923000).

Almost surely, 210203256644 is an apocalyptic number.

10203256644 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 10203256644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14108304000).

10203256644 is an abundant number, since it is smaller than the sum of its proper divisors (18013351356).

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

10203256644 is a wasteful number, since it uses less digits than its factorization.

10203256644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10413 (or 10411 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10203256644 its reverse (44665230201), we get a palindrome (54868486845).

The spelling of 10203256644 in words is "ten billion, two hundred three million, two hundred fifty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 421 609 812 842 1218 1263 1684 2436 2526 2947 5052 5894 8841 9949 11788 12209 17682 19898 24418 29847 35364 36627 39796 48836 59694 69643 73254 85463 119388 139286 146508 170926 208929 256389 278572 288521 341852 417858 512778 577042 835716 865563 1025556 1154084 1731126 2019647 3462252 4039294 4188529 6058941 8078588 8377058 12117882 12565587 16754116 24235764 25131174 29319703 50262348 58639406 87959109 117278812 121467341 175918218 242934682 351836436 364402023 485869364 728804046 850271387 1457608092 1700542774 2550814161 3401085548 5101628322 10203256644