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61472013568 = 287713971217
BaseRepresentation
bin111001010000000001…
…000111110100000000
312212200002102211202021
4321100001013310000
52001343313413233
644123450331224
74304222331310
oct712001076400
9185602384667
1061472013568
11240853926a9
12bab6a29b14
135a48700b34
142d9218d440
1518ebabee2d
hexe50047d00

61472013568 has 144 divisors (see below), whose sum is σ = 142683496704. Its totient is φ = 25887375360.

The previous prime is 61472013553. The next prime is 61472013569. The reversal of 61472013568 is 86531027416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61472013569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50510496 + ... + 50511712.

It is an arithmetic number, because the mean of its divisors is an integer number (990857616).

Almost surely, 261472013568 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 61472013568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71341748352).

61472013568 is an abundant number, since it is smaller than the sum of its proper divisors (81211483136).

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

61472013568 is a wasteful number, since it uses less digits than its factorization.

61472013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 61472013568 in words is "sixty-one billion, four hundred seventy-two million, thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 128 142 224 256 284 397 448 497 568 794 896 994 1136 1217 1588 1792 1988 2272 2434 2779 3176 3976 4544 4868 5558 6352 7952 8519 9088 9736 11116 12704 15904 17038 18176 19472 22232 25408 28187 31808 34076 38944 44464 50816 56374 63616 68152 77888 86407 88928 101632 112748 127232 136304 155776 172814 177856 197309 225496 272608 311552 345628 355712 394618 450992 483149 545216 604849 691256 711424 789236 901984 966298 1090432 1209698 1382512 1578472 1803968 1932596 2180864 2419396 2765024 3156944 3382043 3607936 3865192 4838792 5530048 6313888 6764086 7215872 7730384 9677584 11060096 12627776 13528172 15460768 19355168 22120192 25255552 27056344 30921536 34303579 38710336 50511104 54112688 61843072 68607158 77420672 108225376 123686144 137214316 154841344 216450752 240125053 274428632 432901504 480250106 548857264 865803008 960500212 1097714528 1921000424 2195429056 3842000848 4390858112 7684001696 8781716224 15368003392 30736006784 61472013568