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10605064350 = 23523117313183
BaseRepresentation
bin10011110000001110…
…00111000010011110
31000101002022002101010
421320013013002132
5133204344024400
64512155200050
7523542362646
oct117007070236
930332262333
1010605064350
1145523118a1
12207b746026
13100016a20a
14728667526
1542107b450
hex2781c709e

10605064350 has 96 divisors (see below), whose sum is σ = 27307966464. Its totient is φ = 2720764800.

The previous prime is 10605064333. The next prime is 10605064361. The reversal of 10605064350 is 5346050601.

It is a super-2 number, since 2×106050643502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797859 + ... + 811041.

It is an arithmetic number, because the mean of its divisors is an integer number (284457984).

Almost surely, 210605064350 is an apocalyptic number.

10605064350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10605064350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13653983232).

10605064350 is an abundant number, since it is smaller than the sum of its proper divisors (16702902114).

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

10605064350 is a wasteful number, since it uses less digits than its factorization.

10605064350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13402 (or 13397 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 10605064350 in words is "ten billion, six hundred five million, sixty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 75 93 150 155 173 186 310 346 465 519 775 865 930 1038 1550 1730 2325 2595 4325 4650 5190 5363 8650 10726 12975 13183 16089 25950 26366 26815 32178 39549 53630 65915 79098 80445 131830 134075 160890 197745 268150 329575 395490 402225 408673 659150 804450 817346 988725 1226019 1977450 2043365 2280659 2452038 4086730 4561318 6130095 6841977 10216825 11403295 12260190 13683954 20433650 22806590 30650475 34209885 57016475 61300950 68419770 70700429 114032950 141400858 171049425 212101287 342098850 353502145 424202574 707004290 1060506435 1767510725 2121012870 3535021450 5302532175 10605064350