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67929236004 = 223717391112163
BaseRepresentation
bin111111010000111001…
…011110001000100100
320111100002211201200210
4333100321132020210
52103104341023004
651112315135420
74623230656560
oct772071361044
9214302751623
1067929236004
1126899312473
12111b9444570
136537424b06
1434059ba6a0
151b78921089
hexfd0e5e224

67929236004 has 96 divisors (see below), whose sum is σ = 191865010176. Its totient is φ = 18260513280.

The previous prime is 67929235961. The next prime is 67929236009. The reversal of 67929236004 is 40063292976.

67929236004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×679292360042 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67929236009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5578827 + ... + 5590989.

It is an arithmetic number, because the mean of its divisors is an integer number (1998593856).

Almost surely, 267929236004 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 67929236004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95932505088).

67929236004 is an abundant number, since it is smaller than the sum of its proper divisors (123935774172).

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

67929236004 is a wasteful number, since it uses less digits than its factorization.

67929236004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16105 (or 16103 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 67929236004 in words is "sixty-seven billion, nine hundred twenty-nine million, two hundred thirty-six thousand, four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3911 7822 11733 12163 15644 23466 24326 27377 36489 46932 48652 54754 66487 72978 82131 85141 109508 132974 145956 164262 170282 199461 206771 255423 265948 328524 340564 398922 413542 465409 510846 620313 797844 827084 930818 1021692 1240626 1396227 1447397 1861636 2481252 2792454 2894794 4342191 5584908 5789588 8684382 17368764 47569493 95138986 142708479 190277972 285416958 332986451 570833916 665972902 808681381 998959353 1331945804 1617362762 1997918706 2426044143 3234725524 3995837412 4852088286 5660769667 9704176572 11321539334 16982309001 22643078668 33964618002 67929236004