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6246630144 = 28331753161
BaseRepresentation
bin1011101000101010…
…00000001100000000
3121010100010200122000
411310111000030000
5100243114131034
62511502544000
7310540323456
oct56425001400
917110120560
106246630144
112716072757
121263b98000
137871cb671
1443388c9d6
15268603599
hex174540300

6246630144 has 144 divisors (see below), whose sum is σ = 19559363040. Its totient is φ = 1959690240.

The previous prime is 6246630139. The next prime is 6246630149. The reversal of 6246630144 is 4410366426.

6246630144 is a `hidden beast` number, since 6 + 2 + 4 + 6 + 630 + 14 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6246630139) and next prime (6246630149).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6246630099 and 6246630108.

It is not an unprimeable number, because it can be changed into a prime (6246630149) 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, 90924 + ... + 144084.

It is an arithmetic number, because the mean of its divisors is an integer number (135828910).

Almost surely, 26246630144 is an apocalyptic number.

6246630144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6246630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779681520).

6246630144 is an abundant number, since it is smaller than the sum of its proper divisors (13312732896).

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

6246630144 is a wasteful number, since it uses less digits than its factorization.

6246630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53203 (or 53183 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6246630144 is about 79035.6257898930. The cubic root of 6246630144 is about 1841.6846323188.

The spelling of 6246630144 in words is "six billion, two hundred forty-six million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 544 576 612 768 816 864 918 1088 1152 1224 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4896 6528 6912 7344 9792 13056 14688 19584 29376 39168 53161 58752 106322 117504 159483 212644 318966 425288 478449 637932 850576 903737 956898 1275864 1435347 1701152 1807474 1913796 2551728 2711211 2870694 3402304 3614948 3827592 5103456 5422422 5741388 6804608 7229896 7655184 8133633 10206912 10844844 11482776 13609216 14459792 15310368 16267266 20413824 21689688 22965552 24400899 28919584 30620736 32534532 40827648 43379376 45931104 48801798 57839168 61241472 65069064 86758752 91862208 97603596 115678336 122482944 130138128 173517504 183724416 195207192 231356672 260276256 347035008 367448832 390414384 520552512 694070016 780828768 1041105024 1561657536 2082210048 3123315072 6246630144