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10505442350 = 2521347347991
BaseRepresentation
bin10011100100010110…
…00101010000101110
31000010010211202200102
421302023011100232
5133003343123400
64454240031102
7521222533544
oct116213052056
930103752612
1010505442350
114501059367
122052302492
13cb56297a0
14719333d94
1541744d9d5
hex2722c542e

10505442350 has 96 divisors (see below), whose sum is σ = 21574619136. Its totient is φ = 3781641600.

The previous prime is 10505442331. The next prime is 10505442371. The reversal of 10505442350 is 5324450501.

It is a super-2 number, since 2×105054423502 (a number of 21 digits) contains 22 as substring.

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, 10600355 + ... + 10601345.

It is an arithmetic number, because the mean of its divisors is an integer number (224735616).

Almost surely, 210505442350 is an apocalyptic number.

10505442350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10505442350 is an abundant number, since it is smaller than the sum of its proper divisors (11069176786).

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

10505442350 is a wasteful number, since it uses less digits than its factorization.

10505442350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

Adding to 10505442350 its reverse (5324450501), we get a palindrome (15829892851).

The spelling of 10505442350 in words is "ten billion, five hundred five million, four hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 47 50 65 94 130 235 325 347 470 611 650 694 991 1175 1222 1735 1982 2350 3055 3470 4511 4955 6110 8675 9022 9910 12883 15275 16309 17350 22555 24775 25766 30550 32618 45110 46577 49550 64415 81545 93154 112775 128830 163090 212017 225550 232885 322075 343877 407725 424034 465770 605501 644150 687754 815450 1060085 1164425 1211002 1719385 2120170 2328850 3027505 3438770 4470401 5300425 6055010 8596925 8940802 10600850 15137525 16162219 17193850 22352005 30275050 32324438 44704010 80811095 111760025 161622190 210108847 223520050 404055475 420217694 808110950 1050544235 2101088470 5252721175 10505442350