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3152107347216 = 2431767318013187
BaseRepresentation
bin101101110111101000001…
…111010001110100010000
3102011100010210002010020120
4231313220033101310100
5403121003440102331
610412020315510240
7443506105242552
oct55675017216420
912140123063216
103152107347216
11100588a470aa3
1242aa96458380
1319b31c870479
14ac7c44c74d2
1556ed833c796
hex2dde83d1d10

3152107347216 has 160 divisors (see below), whose sum is σ = 8642257181568. Its totient is φ = 986569113600.

The previous prime is 3152107347197. The next prime is 3152107347217. The reversal of 3152107347216 is 6127437012513.

3152107347216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3152107347217) 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, 989049975 + ... + 989053161.

Almost surely, 23152107347216 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 3152107347216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321128590784).

3152107347216 is an abundant number, since it is smaller than the sum of its proper divisors (5490149834352).

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

3152107347216 is a wasteful number, since it uses less digits than its factorization.

3152107347216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 3152107347216 in words is "three trillion, one hundred fifty-two billion, one hundred seven million, three hundred forty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 673 816 1346 1801 2019 2692 3187 3602 4038 5384 5403 6374 7204 8076 9561 10768 10806 11441 12748 14408 16152 19122 21612 22882 25496 28816 30617 32304 34323 38244 43224 45764 50992 54179 61234 68646 76488 86448 91528 91851 108358 122468 137292 152976 162537 183056 183702 216716 244936 274584 325074 367404 433432 489872 549168 650148 734808 866864 1212073 1300296 1469616 2144851 2424146 2600592 3636219 4289702 4848292 5739787 6434553 7272438 8579404 9696584 11479574 12869106 14544876 17158808 17219361 19393168 20605241 22959148 25738212 29089752 34317616 34438722 36462467 41210482 45918296 51476424 58179504 61815723 68877444 72924934 82420964 91836592 97576379 102952848 109387401 123631446 137754888 145849868 164841928 195152758 218774802 247262892 275509776 291699736 292729137 329683856 390305516 437549604 494525784 583399472 585458274 780611032 875099208 989051568 1170916548 1561222064 1750198416 2341833096 3862876651 4683666192 7725753302 11588629953 15451506604 23177259906 30903013208 46354519812 61806026416 65668903067 92709039624 131337806134 185418079248 197006709201 262675612268 394013418402 525351224536 788026836804 1050702449072 1576053673608 3152107347216