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6136713984 = 28346117333
BaseRepresentation
bin1011011011100011…
…01101001100000000
3120211200022101000010
411231301231030000
5100031444321414
62452535024520
7305034131262
oct55561551400
916750271003
106136713984
11266a019055
12123320b140
1376a4c550b
14423039b32
1525db40959
hex16dc6d300

6136713984 has 72 divisors (see below), whose sum is σ = 16368981552. Its totient is φ = 2041016320.

The previous prime is 6136713967. The next prime is 6136714013. The reversal of 6136713984 is 4893176316.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 345382 + ... + 362714.

It is an arithmetic number, because the mean of its divisors is an integer number (227346966).

Almost surely, 26136713984 is an apocalyptic number.

6136713984 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 6136713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8184490776).

6136713984 is an abundant number, since it is smaller than the sum of its proper divisors (10232267568).

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

6136713984 is a wasteful number, since it uses less digits than its factorization.

6136713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17799 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 6136713984 is about 78337.1813636411. The cubic root of 6136713984 is about 1830.8185081067.

The spelling of 6136713984 in words is "six billion, one hundred thirty-six million, seven hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 461 768 922 1383 1844 2766 3688 5532 7376 11064 14752 17333 22128 29504 34666 44256 51999 59008 69332 88512 103998 118016 138664 177024 207996 277328 354048 415992 554656 831984 1109312 1663968 2218624 3327936 4437248 6655872 7990513 13311744 15981026 23971539 31962052 47943078 63924104 95886156 127848208 191772312 255696416 383544624 511392832 767089248 1022785664 1534178496 2045571328 3068356992 6136713984