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338778811648 = 281918168993
BaseRepresentation
bin1001110111000001100…
…10100110110100000000
31012101110002002202202101
410323200302212310000
521022304333433043
6415344405400144
733322153246264
oct4734062466400
91171402082671
10338778811648
11120747897472
12557a8409054
1325c3cbab6c4
141257b4660a4
158c2bd7224d
hex4ee0ca6d00

338778811648 has 36 divisors (see below), whose sum is σ = 676279325988. Its totient is φ = 169378119680.

The previous prime is 338778811619. The next prime is 338778811661. The reversal of 338778811648 is 846118877833.

It can be written as a sum of positive squares in 2 ways, for example, as 146205287424 + 192573524224 = 382368^2 + 438832^2 .

It is a super-2 number, since 2×3387788116482 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 338778811648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4875840 + ... + 4944832.

It is an arithmetic number, because the mean of its divisors is an integer number (18785536833).

Almost surely, 2338778811648 is an apocalyptic number.

It is an amenable number.

338778811648 is a deficient number, since it is larger than the sum of its proper divisors (337500514340).

338778811648 is an equidigital number, since it uses as much as digits as its factorization.

338778811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88190 (or 88176 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 64.

The spelling of 338778811648 in words is "three hundred thirty-eight billion, seven hundred seventy-eight million, eight hundred eleven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 19181 38362 68993 76724 137986 153448 275972 306896 551944 613792 1103888 1227584 2207776 2455168 4415552 4910336 8831104 17662208 1323354733 2646709466 5293418932 10586837864 21173675728 42347351456 84694702912 169389405824 338778811648