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5997956496 = 243765327337
BaseRepresentation
bin1011001011000000…
…11000110110010000
3120111000012202111220
411211200120312100
544240434101441
62431101005040
7301430534430
oct54540306620
916430182456
105997956496
1125a8765544
1211b4853780
137478318ac
1440c83a2c0
15251882466
hex165818d90

5997956496 has 80 divisors (see below), whose sum is σ = 17736019584. Its totient is φ = 1711014912.

The previous prime is 5997956467. The next prime is 5997956527. The reversal of 5997956496 is 6946597995.

It is a self number, because there is not a number n which added to its sum of digits gives 5997956496.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205740 + ... + 233076.

Almost surely, 25997956496 is an apocalyptic number.

5997956496 is a gapful number since it is divisible by the number (56) 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 5997956496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8868009792).

5997956496 is an abundant number, since it is smaller than the sum of its proper divisors (11738063088).

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

5997956496 is a wasteful number, since it uses less digits than its factorization.

5997956496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28008 (or 28002 counting only the distinct ones).

The product of its digits is 165337200, while the sum is 69.

The square root of 5997956496 is about 77446.4750392166. The cubic root of 5997956496 is about 1816.9142753409.

The spelling of 5997956496 in words is "five billion, nine hundred ninety-seven million, nine hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 653 1306 1959 2612 3918 4571 5224 7836 9142 10448 13713 15672 18284 27337 27426 31344 36568 54674 54852 73136 82011 109348 109704 164022 191359 218696 219408 328044 382718 437392 574077 656088 765436 1148154 1312176 1530872 2296308 3061744 4592616 9185232 17851061 35702122 53553183 71404244 107106366 124957427 142808488 214212732 249914854 285616976 374872281 428425464 499829708 749744562 856850928 999659416 1499489124 1999318832 2998978248 5997956496