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10315552068 = 2233294577207
BaseRepresentation
bin10011001101101101…
…01101010101000100
3222121220112100012000
421212312231111010
5132111240131233
64423334025300
7513425513553
oct114666552504
928556470160
1010315552068
114413950a48
121bba7a8230
13c851a1c83
146dc023d9a
1540593ed13
hex266dad544

10315552068 has 96 divisors (see below), whose sum is σ = 27730617600. Its totient is φ = 3312223488.

The previous prime is 10315551979. The next prime is 10315552069. The reversal of 10315552068 is 86025551301.

It is a happy number.

10315552068 is a `hidden beast` number, since 10 + 31 + 5 + 552 + 0 + 68 = 666.

10315552068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103155520682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10315552069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1427721 + ... + 1434927.

It is an arithmetic number, because the mean of its divisors is an integer number (288860600).

Almost surely, 210315552068 is an apocalyptic number.

10315552068 is a gapful number since it is divisible by the number (18) 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 10315552068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865308800).

10315552068 is an abundant number, since it is smaller than the sum of its proper divisors (17415065532).

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

10315552068 is a wasteful number, since it uses less digits than its factorization.

10315552068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10315552068 in words is "ten billion, three hundred fifteen million, five hundred fifty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 457 522 783 914 1044 1371 1566 1828 2742 3132 4113 5484 7207 8226 12339 13253 14414 16452 21621 24678 26506 28828 39759 43242 49356 53012 64863 79518 86484 119277 129726 159036 194589 209003 238554 259452 357831 389178 418006 477108 627009 715662 778356 836012 1254018 1431324 1881027 2508036 3293599 3762054 5643081 6587198 7524108 9880797 11286162 13174396 19761594 22572324 29642391 39523188 59284782 88927173 95514371 118569564 177854346 191028742 286543113 355708692 382057484 573086226 859629339 1146172452 1719258678 2578888017 3438517356 5157776034 10315552068