Search a number
-
+
6738948384 = 253721147527
BaseRepresentation
bin1100100011010110…
…00011000100100000
3122101122112001021220
412101223003010200
5102300132322014
63032411015040
7325666054560
oct62153030440
918348461256
106738948384
112948a62733
121380a3a480
138351c412c
1447d004da0
152969506a9
hex191ac3120

6738948384 has 96 divisors (see below), whose sum is σ = 20313086976. Its totient is φ = 1916248320.

The previous prime is 6738948323. The next prime is 6738948409. The reversal of 6738948384 is 4838498376.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×67389483842 = 90826850644432422912, which contains 22 as substring.

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, 118029 + ... + 165555.

It is an arithmetic number, because the mean of its divisors is an integer number (211594656).

Almost surely, 26738948384 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 6738948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10156543488).

6738948384 is an abundant number, since it is smaller than the sum of its proper divisors (13574138592).

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

6738948384 is a wasteful number, since it uses less digits than its factorization.

6738948384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47758 (or 47750 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The square root of 6738948384 is about 82091.0980801207. The cubic root of 6738948384 is about 1888.8495918950.

The spelling of 6738948384 in words is "six billion, seven hundred thirty-eight million, nine hundred forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 422 633 672 844 1266 1477 1688 2532 2954 3376 4431 5064 5908 6752 8862 10128 11816 17724 20256 23632 35448 47264 47527 70896 95054 141792 142581 190108 285162 332689 380216 570324 665378 760432 998067 1140648 1330756 1520864 1996134 2281296 2661512 3992268 4562592 5323024 7984536 10028197 10646048 15969072 20056394 30084591 31938144 40112788 60169182 70197379 80225576 120338364 140394758 160451152 210592137 240676728 280789516 320902304 421184274 481353456 561579032 842368548 962706912 1123158064 1684737096 2246316128 3369474192 6738948384