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6000672007944 = 23321931889228601
BaseRepresentation
bin101011101010010001111…
…1011000110011100001000
3210020122210011001002111100
41113110203323012130020
51241303334013223234
620432400510301400
71156351150326045
oct127244373063410
923218704032440
106000672007944
111a03963a02a19
1280ab78ab7860
13346b2664b133
1416a61115c1cc
15a6157e7b399
hex57523ec6708

6000672007944 has 96 divisors (see below), whose sum is σ = 16344745817400. Its totient is φ = 1988798054400.

The previous prime is 6000672007927. The next prime is 6000672007961. The reversal of 6000672007944 is 4497002760006.

It is an interprime number because it is at equal distance from previous prime (6000672007927) and next prime (6000672007961).

It can be written as a sum of positive squares in 4 ways, for example, as 5664923612100 + 335748395844 = 2380110^2 + 579438^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6000672007944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26135244 + ... + 26363844.

Almost surely, 26000672007944 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 6000672007944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172372908700).

6000672007944 is an abundant number, since it is smaller than the sum of its proper divisors (10344073809456).

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

6000672007944 is a wasteful number, since it uses less digits than its factorization.

6000672007944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230695 (or 230688 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6000672007944 in words is "six trillion, six hundred seventy-two million, seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 1889 2316 3474 3778 4632 5667 6948 7556 11334 13896 15112 17001 22668 34002 45336 68004 136008 228601 364577 457202 685803 729154 914404 1093731 1371606 1458308 1828808 2057409 2187462 2743212 2916616 3281193 4114818 4374924 5486424 6562386 8229636 8749848 13124772 16459272 26249544 44119993 88239986 132359979 176479972 264719958 352959944 397079937 431827289 529439916 794159874 863654578 1058879832 1295481867 1588319748 1727309156 2590963734 3176639496 3454618312 3886445601 5181927468 7772891202 10363854936 15545782404 31091564808 83342666777 166685333554 250028000331 333370667108 500056000662 666741334216 750084000993 1000112001324 1500168001986 2000224002648 3000336003972 6000672007944