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10197067968 = 26341967027
BaseRepresentation
bin10010111111100101…
…01110100011000000
3222022122120201120000
421133302232203000
5131340422133333
64403502320000
7510456435063
oct113762564300
928278521500
1010197067968
114362a850aa
121b86b89000
13c66789039
146ca3c08da
153ea338713
hex25fcae8c0

10197067968 has 70 divisors (see below), whose sum is σ = 30227319276. Its totient is φ = 3399020928.

The previous prime is 10197067967. The next prime is 10197067973. The reversal of 10197067968 is 86976079101.

10197067968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10197067967) 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 9 ways as a sum of consecutive naturals, for example, 978330 + ... + 988697.

Almost surely, 210197067968 is an apocalyptic number.

10197067968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10197067968 is an abundant number, since it is smaller than the sum of its proper divisors (20030251308).

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

10197067968 is an equidigital number, since it uses as much as digits as its factorization.

10197067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967051 (or 1967032 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 10197067968 in words is "ten billion, one hundred ninety-seven million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 1967027 3934054 5901081 7868108 11802162 15736216 17703243 23604324 31472432 35406486 47208648 53109729 62944864 70812972 94417296 106219458 125889728 141625944 159329187 188834592 212438916 283251888 318658374 377669184 424877832 566503776 637316748 849755664 1133007552 1274633496 1699511328 2549266992 3399022656 5098533984 10197067968