Search a number
-
+
6848197632 = 210321275851
BaseRepresentation
bin1100110000010111…
…10011010000000000
3122200021002111002100
412120023303100000
5103011114311012
63051312350400
7331463501523
oct63013632000
918607074070
106848197632
1129a46a1271
1213b1545400
13851a25863
1448d722bba
152a13308dc
hex1982f3400

6848197632 has 132 divisors (see below), whose sum is σ = 19933129216. Its totient is φ = 2264371200.

The previous prime is 6848197591. The next prime is 6848197691. The reversal of 6848197632 is 2367918486.

6848197632 is a `hidden beast` number, since 68 + 481 + 9 + 76 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167507 + ... + 1173357.

Almost surely, 26848197632 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 6848197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9966564608).

6848197632 is an abundant number, since it is smaller than the sum of its proper divisors (13084931584).

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

6848197632 is a wasteful number, since it uses less digits than its factorization.

6848197632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5983 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6848197632 is about 82753.8375666047. The cubic root of 6848197632 is about 1899.0020273391.

It can be divided in two parts, 6848 and 197632, that added together give a triangular number (204480 = T639).

The spelling of 6848197632 in words is "six billion, eight hundred forty-eight million, one hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2286 2304 3048 3072 4064 4572 4608 5851 6096 8128 9144 9216 11702 12192 16256 17553 18288 23404 24384 32512 35106 36576 46808 48768 52659 65024 70212 73152 93616 97536 105318 130048 140424 146304 187232 195072 210636 280848 292608 374464 390144 421272 561696 585216 743077 748928 842544 1123392 1170432 1486154 1497856 1685088 2229231 2246784 2972308 2995712 3370176 4458462 4493568 5944616 5991424 6687693 6740352 8916924 8987136 11889232 13375386 13480704 17833848 17974272 23778464 26750772 26961408 35667696 47556928 53501544 53922816 71335392 95113856 107003088 142670784 190227712 214006176 285341568 380455424 428012352 570683136 760910848 856024704 1141366272 1712049408 2282732544 3424098816 6848197632