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5967426972 = 223131711092029
BaseRepresentation
bin1011000111010111…
…11011010110011100
3120101212202200212210
411203223323112130
544210130130342
62424050400420
7300610202163
oct54353732634
916355680783
105967426972
112592503231
1211a6590110
137414028a0
144087703da
1524dd5179c
hex163afb59c

5967426972 has 96 divisors (see below), whose sum is σ = 15899284800. Its totient is φ = 1725714432.

The previous prime is 5967426967. The next prime is 5967426979. The reversal of 5967426972 is 2796247695.

It is a super-2 number, since 2×59674269722 = 71220369332306177568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5967426979) 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, 2940054 + ... + 2942082.

It is an arithmetic number, because the mean of its divisors is an integer number (165617550).

Almost surely, 25967426972 is an apocalyptic number.

5967426972 is a gapful number since it is divisible by the number (52) 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 5967426972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7949642400).

5967426972 is an abundant number, since it is smaller than the sum of its proper divisors (9931857828).

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

5967426972 is a wasteful number, since it uses less digits than its factorization.

5967426972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3173 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The square root of 5967426972 is about 77249.1227911360. The cubic root of 5967426972 is about 1813.8263398572.

The spelling of 5967426972 in words is "five billion, nine hundred sixty-seven million, four hundred twenty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1109 1326 2029 2218 2652 3327 4058 4436 6087 6654 8116 12174 13308 14417 18853 24348 26377 28834 34493 37706 43251 52754 56559 57668 68986 75412 79131 86502 103479 105508 113118 137972 158262 173004 206958 226236 245089 316524 413916 448409 490178 735267 896818 980356 1345227 1470534 1793636 2250161 2690454 2941068 4500322 5380908 6750483 9000644 13500966 27001932 29252093 38252737 58504186 76505474 87756279 114758211 117008372 153010948 175512558 229516422 351025116 459032844 497285581 994571162 1491856743 1989142324 2983713486 5967426972