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10481134152 = 23337103114593
BaseRepresentation
bin10011100001011100…
…10110101001001000
31000001110002210002210
421300232112221020
5132431132243102
64452011025120
7520506112266
oct116056265110
930043083083
1010481134152
114499366245
12204613b1a0
13cb0598438
14716007436
1541524b36c
hex270b96a48

10481134152 has 64 divisors (see below), whose sum is σ = 27172529280. Its totient is φ = 3366254592.

The previous prime is 10481134133. The next prime is 10481134163. The reversal of 10481134152 is 25143118401.

It is a super-2 number, since 2×104811341522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34168 + ... + 148760.

It is an arithmetic number, because the mean of its divisors is an integer number (424570770).

Almost surely, 210481134152 is an apocalyptic number.

10481134152 is a gapful number since it is divisible by the number (12) 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 10481134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586264640).

10481134152 is an abundant number, since it is smaller than the sum of its proper divisors (16691395128).

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

10481134152 is a wasteful number, since it uses less digits than its factorization.

10481134152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114742 (or 114738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 10481134152 in words is "ten billion, four hundred eighty-one million, one hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 103 111 148 206 222 296 309 412 444 618 824 888 1236 2472 3811 7622 11433 15244 22866 30488 45732 91464 114593 229186 343779 458372 687558 916744 1375116 2750232 4239941 8479882 11803079 12719823 16959764 23606158 25439646 33919528 35409237 47212316 50879292 70818474 94424632 101758584 141636948 283273896 436713923 873427846 1310141769 1746855692 2620283538 3493711384 5240567076 10481134152