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338019341016 = 233717118354111
BaseRepresentation
bin1001110101100111000…
…01011101001011011000
31012022111011000122220110
410322303201131023120
521014230422403031
6415141155324320
733264301664220
oct4726341351330
91168434018813
10338019341016
11120398118995
1255615bb06a0
1325b4b7492b6
141250864b080
158bd5353c46
hex4eb385d2d8

338019341016 has 64 divisors (see below), whose sum is σ = 1022579527680. Its totient is φ = 90895956480.

The previous prime is 338019340991. The next prime is 338019341021. The reversal of 338019341016 is 610143910833.

338019341016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3380193410162 (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 59174200 + ... + 59179911.

It is an arithmetic number, because the mean of its divisors is an integer number (15977805120).

Almost surely, 2338019341016 is an apocalyptic number.

It is an amenable number.

338019341016 is an abundant number, since it is smaller than the sum of its proper divisors (684560186664).

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

338019341016 is a wasteful number, since it uses less digits than its factorization.

338019341016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118354144 (or 118354140 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 338019341016 in words is "three hundred thirty-eight billion, nineteen million, three hundred forty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 118354111 236708222 355062333 473416444 710124666 828478777 946832888 1420249332 1656957554 2012019887 2485436331 2840498664 3313915108 4024039774 4970872662 6036059661 6627830216 8048079548 9941745324 12072119322 14084139209 16096159096 19883490648 24144238644 28168278418 42252417627 48288477288 56336556836 84504835254 112673113672 169009670508 338019341016