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6838910144 = 261117571433
BaseRepresentation
bin1100101111010000…
…10111110011000000
3122122121121122001022
412113220113303000
5103001230111034
63050341325012
7331321530353
oct62750276300
918577548038
106838910144
11299a428460
1213aa406768
1384cb233c1
1448c3c629a
152a05e8b2e
hex197a17cc0

6838910144 has 56 divisors (see below), whose sum is σ = 15675577488. Its totient is φ = 2925731840.

The previous prime is 6838910131. The next prime is 6838910153. The reversal of 6838910144 is 4410198386.

It is a super-2 number, since 2×68389101442 = 93541383915412201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 6838910095 and 6838910104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273749 + ... + 297684.

Almost surely, 26838910144 is an apocalyptic number.

6838910144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6838910144 is an abundant number, since it is smaller than the sum of its proper divisors (8836667344).

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

6838910144 is a wasteful number, since it uses less digits than its factorization.

6838910144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571473 (or 571463 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 6838910144 is about 82697.7033780262. The cubic root of 6838910144 is about 1898.1431669230.

The spelling of 6838910144 in words is "six billion, eight hundred thirty-eight million, nine hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 352 374 544 704 748 1088 1496 2992 5984 11968 571433 1142866 2285732 4571464 6285763 9142928 9714361 12571526 18285856 19428722 25143052 36571712 38857444 50286104 77714888 100572208 106857971 155429776 201144416 213715942 310859552 402288832 427431884 621719104 854863768 1709727536 3419455072 6838910144