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6455187040 = 255319713417
BaseRepresentation
bin1100000001100001…
…00101011001100000
3121122212120110220111
412000300211121200
5101210011441130
62544313021104
7315652120201
oct60060453140
917585513814
106455187040
11281286a625
1213019b4794
137bb490703
1445345b5a8
1527ba9d02a
hex180c25660

6455187040 has 96 divisors (see below), whose sum is σ = 15905804544. Its totient is φ = 2472837120.

The previous prime is 6455187029. The next prime is 6455187073. The reversal of 6455187040 is 407815546.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6455186984 and 6455187002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474412 + ... + 487828.

It is an arithmetic number, because the mean of its divisors is an integer number (165685464).

Almost surely, 26455187040 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 6455187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952902272).

6455187040 is an abundant number, since it is smaller than the sum of its proper divisors (9450617504).

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

6455187040 is a wasteful number, since it uses less digits than its factorization.

6455187040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13560 (or 13552 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 6455187040 is about 80344.1786316843. The cubic root of 6455187040 is about 1861.9568413895.

The spelling of 6455187040 in words is "six billion, four hundred fifty-five million, one hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 97 124 155 160 194 248 310 388 485 496 620 776 970 992 1240 1552 1940 2480 3007 3104 3880 4960 6014 7760 12028 13417 15035 15520 24056 26834 30070 48112 53668 60140 67085 96224 107336 120280 134170 214672 240560 268340 415927 429344 481120 536680 831854 1073360 1301449 1663708 2079635 2146720 2602898 3327416 4159270 5205796 6507245 6654832 8318540 10411592 13014490 13309664 16637080 20823184 26028980 33274160 40344919 41646368 52057960 66548320 80689838 104115920 161379676 201724595 208231840 322759352 403449190 645518704 806898380 1291037408 1613796760 3227593520 6455187040