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67161000120 = 233519144720357
BaseRepresentation
bin111110100011000110…
…111000100010111000
320102100120021022011220
4332203012320202320
52100021204000440
650504153152040
74565212040034
oct764306704270
9212316238156
1067161000120
11265346a7485
12110240bb620
136444213b76
14337195d1c4
151b312708d0
hexfa31b88b8

67161000120 has 128 divisors (see below), whose sum is σ = 212244364800. Its totient is φ = 16954430976.

The previous prime is 67161000119. The next prime is 67161000121. The reversal of 67161000120 is 2100016176.

67161000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67161000119) and next prime (67161000121).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67161000121) 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, 3288982 + ... + 3309338.

It is an arithmetic number, because the mean of its divisors is an integer number (1658159100).

Almost surely, 267161000120 is an apocalyptic number.

67161000120 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 67161000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106122182400).

67161000120 is an abundant number, since it is smaller than the sum of its proper divisors (145083364680).

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

67161000120 is a wasteful number, since it uses less digits than its factorization.

67161000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21837 (or 21833 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 67161000120 its reverse (2100016176), we get a palindrome (69261016296).

The spelling of 67161000120 in words is "sixty-seven billion, one hundred sixty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 1447 2280 2894 4341 5788 7235 8682 11576 14470 17364 20357 21705 27493 28940 34728 40714 43410 54986 57880 61071 81428 82479 86820 101785 109972 122142 137465 162856 164958 173640 203570 219944 244284 274930 305355 329916 386783 407140 412395 488568 549860 610710 659832 773566 814280 824790 1099720 1160349 1221420 1547132 1649580 1933915 2320698 2442840 3094264 3299160 3867830 4641396 5801745 7735660 9282792 11603490 15471320 23206980 29456579 46413960 58913158 88369737 117826316 147282895 176739474 235652632 294565790 353478948 441848685 559675001 589131580 706957896 883697370 1119350002 1178263160 1679025003 1767394740 2238700004 2798375005 3358050006 3534789480 4477400008 5596750010 6716100012 8395125015 11193500020 13432200024 16790250030 22387000040 33580500060 67161000120