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10388152096 = 25728278011
BaseRepresentation
bin10011010110010111…
…01001111100100000
3222210222010210200221
421223023221330200
5132233331331341
64434450052424
7515266556500
oct115313517440
928728123627
1010388152096
114450928473
12201ab7a114
13c9724107a
14707921a00
1540bed0ed1
hex26b2e9f20

10388152096 has 72 divisors (see below), whose sum is σ = 23822464176. Its totient is φ = 4446126720.

The previous prime is 10388152087. The next prime is 10388152123. The reversal of 10388152096 is 69025188301.

10388152096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 1292731 + ... + 1300741.

It is an arithmetic number, because the mean of its divisors is an integer number (330867558).

Almost surely, 210388152096 is an apocalyptic number.

10388152096 is a gapful number since it is divisible by the number (16) 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 10388152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11911232088).

10388152096 is an abundant number, since it is smaller than the sum of its proper divisors (13434312080).

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

10388152096 is an equidigital number, since it uses as much as digits as its factorization.

10388152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8862 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 10388152096 in words is "ten billion, three hundred eighty-eight million, one hundred fifty-two thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 827 1568 1654 3308 5789 6616 8011 11578 13232 16022 23156 26464 32044 40523 46312 56077 64088 81046 92624 112154 128176 162092 185248 224308 256352 324184 392539 448616 648368 785078 897232 1296736 1570156 1794464 3140312 6280624 6625097 12561248 13250194 26500388 46375679 53000776 92751358 106001552 185502716 212003104 324629753 371005432 649259506 742010864 1298519012 1484021728 2597038024 5194076048 10388152096