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6771052640 = 2551134711087
BaseRepresentation
bin1100100111001011…
…00001000001100000
3122110212221010001102
412103211201001200
5102331342141030
63035515053532
7326535666152
oct62345410140
918425833042
106771052640
1129650a0080
12138b7412a8
1383ba54b31
144833a0ad2
15299692c45
hex193961060

6771052640 has 96 divisors (see below), whose sum is σ = 17502718464. Its totient is φ = 2454883840.

The previous prime is 6771052637. The next prime is 6771052661. The reversal of 6771052640 is 462501776.

It is a junction number, because it is equal to n+sod(n) for n = 6771052594 and 6771052603.

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, 605177 + ... + 616263.

It is an arithmetic number, because the mean of its divisors is an integer number (182319984).

Almost surely, 26771052640 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 6771052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751359232).

6771052640 is an abundant number, since it is smaller than the sum of its proper divisors (10731665824).

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

6771052640 is a wasteful number, since it uses less digits than its factorization.

6771052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 11452 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 6771052640 is about 82286.4061677261. The cubic root of 6771052640 is about 1891.8443256545.

The spelling of 6771052640 in words is "six billion, seven hundred seventy-one million, fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 347 352 440 694 880 1388 1735 1760 2776 3470 3817 5552 6940 7634 11087 11104 13880 15268 19085 22174 27760 30536 38170 44348 55435 55520 61072 76340 88696 110870 121957 122144 152680 177392 221740 243914 305360 354784 443480 487828 609785 610720 886960 975656 1219570 1773920 1951312 2439140 3847189 3902624 4878280 7694378 9756560 15388756 19235945 19513120 30777512 38471890 42319079 61555024 76943780 84638158 123110048 153887560 169276316 211595395 307775120 338552632 423190790 615550240 677105264 846381580 1354210528 1692763160 3385526320 6771052640