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61323851412 = 22334786313999
BaseRepresentation
bin111001000111001011…
…111011011010010100
312212021202122102111000
4321013023323122110
52001042401221122
644101034543300
74300443064545
oct710713733224
9185252572430
1061323851412
112400979623a
12ba75297b30
135a23ac6615
142d7a6224cc
1518ddaa50ac
hexe472fb694

61323851412 has 96 divisors (see below), whose sum is σ = 162570240000. Its totient is φ = 19981753056.

The previous prime is 61323851411. The next prime is 61323851441. The reversal of 61323851412 is 21415832316.

61323851412 is a `hidden beast` number, since 6 + 1 + 3 + 238 + 5 + 1 + 412 = 666.

It is a super-2 number, since 2×613238514122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61323851411) 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, 4373589 + ... + 4387587.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440000).

Almost surely, 261323851412 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 61323851412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120000).

61323851412 is an abundant number, since it is smaller than the sum of its proper divisors (101246388588).

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

61323851412 is a wasteful number, since it uses less digits than its factorization.

61323851412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14922 (or 14914 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 61323851412 in words is "sixty-one billion, three hundred twenty-three million, eight hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 863 1269 1692 1726 2538 2589 3452 5076 5178 7767 10356 13999 15534 23301 27998 31068 40561 41997 46602 55996 81122 83994 93204 121683 125991 162244 167988 243366 251982 365049 377973 486732 503964 657953 730098 755946 1095147 1315906 1460196 1511892 1973859 2190294 2631812 3947718 4380588 5921577 7895436 11843154 12081137 17764731 23686308 24162274 35529462 36243411 48324548 71058924 72486822 108730233 144973644 217460466 326190699 434920932 567813439 652381398 1135626878 1304762796 1703440317 2271253756 3406880634 5110320951 6813761268 10220641902 15330962853 20441283804 30661925706 61323851412