Search a number
-
+
67982816032 = 2567257123379
BaseRepresentation
bin111111010100000101…
…110111001100100000
320111110211122212200021
4333110011313030200
52103212100103112
651121511403224
74624451254555
oct772405671440
9214424585607
1067982816032
112691658898a
1211213383514
136545564881
14340cb66a2c
151b7d4a6907
hexfd4177320

67982816032 has 48 divisors (see below), whose sum is σ = 136368459360. Its totient is φ = 33353515008.

The previous prime is 67982816029. The next prime is 67982816063. The reversal of 67982816032 is 23061828976.

67982816032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 489319 + ... + 612697.

It is an arithmetic number, because the mean of its divisors is an integer number (2841009570).

Almost surely, 267982816032 is an apocalyptic number.

It is an amenable number.

67982816032 is an abundant number, since it is smaller than the sum of its proper divisors (68385643328).

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

67982816032 is a wasteful number, since it uses less digits than its factorization.

67982816032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123713 (or 123705 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 67982816032 in words is "sixty-seven billion, nine hundred eighty-two million, eight hundred sixteen thousand, thirty-two".

Divisors: 1 2 4 8 16 32 67 134 257 268 514 536 1028 1072 2056 2144 4112 8224 17219 34438 68876 123379 137752 246758 275504 493516 551008 987032 1974064 3948128 8266393 16532786 31708403 33065572 63416806 66131144 126833612 132262288 253667224 264524576 507334448 1014668896 2124463001 4248926002 8497852004 16995704008 33991408016 67982816032