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6878575540 = 2252911939941
BaseRepresentation
bin1100110011111111…
…01011101110110100
3122202101020211202001
412121333223232310
5103041403404130
63054315425044
7332312633044
oct63177535664
918671224661
106878575540
112a0a85a681
1213bb755184
13858100855
1449378d724
152a3d316ca
hex199febbb4

6878575540 has 48 divisors (see below), whose sum is σ = 14957142480. Its totient is φ = 2654059520.

The previous prime is 6878575507. The next prime is 6878575541. The reversal of 6878575540 is 455758786.

It can be written as a sum of positive squares in 8 ways, for example, as 1234960164 + 5643615376 = 35142^2 + 75124^2 .

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6878575541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686970 + ... + 696910.

It is an arithmetic number, because the mean of its divisors is an integer number (311607135).

Almost surely, 26878575540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6878575540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478571240).

6878575540 is an abundant number, since it is smaller than the sum of its proper divisors (8078566940).

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

6878575540 is a wasteful number, since it uses less digits than its factorization.

6878575540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11172 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 55.

The square root of 6878575540 is about 82937.1782736789. The cubic root of 6878575540 is about 1901.8058122485.

The spelling of 6878575540 in words is "six billion, eight hundred seventy-eight million, five hundred seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1193 2386 4772 5965 9941 11930 19882 23860 34597 39764 49705 69194 99410 138388 172985 198820 288289 345970 576578 691940 1153156 1441445 2882890 5765780 11859613 23719226 47438452 59298065 118596130 237192260 343928777 687857554 1375715108 1719643885 3439287770 6878575540