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67312633740 = 223511509200371
BaseRepresentation
bin111110101100001001…
…010100011110001100
320102202010121002101220
4332230021110132030
52100324013234430
650531211203340
74602032642412
oct765411243614
9212663532356
1067312633740
1126602255020
1211066a46550
1364697654c1
143387b512b2
151b3e724110
hexfac25478c

67312633740 has 96 divisors (see below), whose sum is σ = 206014475520. Its totient is φ = 16286073600.

The previous prime is 67312633697. The next prime is 67312633753. The reversal of 67312633740 is 4733621376.

67312633740 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 2×673126337402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 67312633692 and 67312633701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235755 + ... + 436125.

It is an arithmetic number, because the mean of its divisors is an integer number (2145984120).

Almost surely, 267312633740 is an apocalyptic number.

67312633740 is a gapful number since it is divisible by the number (60) 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 67312633740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103007237760).

67312633740 is an abundant number, since it is smaller than the sum of its proper divisors (138701841780).

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

67312633740 is a wasteful number, since it uses less digits than its factorization.

67312633740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200903 (or 200901 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 67312633740 in words is "sixty-seven billion, three hundred twelve million, six hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 509 660 1018 1527 2036 2545 3054 5090 5599 6108 7635 10180 11198 15270 16797 22396 27995 30540 33594 55990 67188 83985 111980 167970 200371 335940 400742 601113 801484 1001855 1202226 2003710 2204081 2404452 3005565 4007420 4408162 6011130 6612243 8816324 11020405 12022260 13224486 22040810 26448972 33061215 44081620 66122430 101988839 132244860 203977678 305966517 407955356 509944195 611933034 1019888390 1121877229 1223866068 1529832585 2039776780 2243754458 3059665170 3365631687 4487508916 5609386145 6119330340 6731263374 11218772290 13462526748 16828158435 22437544580 33656316870 67312633740