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10505473370 = 257476747659
BaseRepresentation
bin10011100100010110…
…01100110101011010
31000010010220100020022
421302023030311122
5133003400121440
64454240430442
7521223023150
oct116213146532
930103810208
1010505473370
11450107a6a7
122052318422
13cb563a942
147193413d0
15417457cb5
hex2722ccd5a

10505473370 has 64 divisors (see below), whose sum is σ = 22400962560. Its totient is φ = 3472552512.

The previous prime is 10505473367. The next prime is 10505473393. The reversal of 10505473370 is 7337450501.

10505473370 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 2×105054733702 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10505473370.

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 31 ways as a sum of consecutive naturals, for example, 196601 + ... + 244259.

It is an arithmetic number, because the mean of its divisors is an integer number (350015040).

Almost surely, 210505473370 is an apocalyptic number.

10505473370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505473370 is an abundant number, since it is smaller than the sum of its proper divisors (11895489190).

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

10505473370 is a wasteful number, since it uses less digits than its factorization.

10505473370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47787.

The product of its (nonzero) digits is 44100, while the sum is 35.

The spelling of 10505473370 in words is "ten billion, five hundred five million, four hundred seventy-three thousand, three hundred seventy".

Divisors: 1 2 5 7 10 14 35 47 67 70 94 134 235 329 335 469 470 658 670 938 1645 2345 3149 3290 4690 6298 15745 22043 31490 44086 47659 95318 110215 220430 238295 333613 476590 667226 1668065 2239973 3193153 3336130 4479946 6386306 11199865 15679811 15965765 22352071 22399730 31359622 31931530 44704142 78399055 111760355 150078191 156798110 223520710 300156382 750390955 1050547337 1500781910 2101094674 5252736685 10505473370