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5350624752 = 2431153712693
BaseRepresentation
bin1001111101110110…
…00000110111110000
3111210220010220022010
410332323000313300
541424224443002
62242534242520
7246410363034
oct47673006760
914726126263
105350624752
1122a6319630
121053ab6440
136736a3265
1438a8921c4
15214b1546c
hex13eec0df0

5350624752 has 160 divisors (see below), whose sum is σ = 15585716736. Its totient is φ = 1567820800.

The previous prime is 5350624703. The next prime is 5350624771. The reversal of 5350624752 is 2574260535.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5350624752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985518 + ... + 1988210.

Almost surely, 25350624752 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 5350624752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792858368).

5350624752 is an abundant number, since it is smaller than the sum of its proper divisors (10235091984).

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

5350624752 is a wasteful number, since it uses less digits than its factorization.

5350624752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2833 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 39.

The square root of 5350624752 is about 73147.9647837177. The cubic root of 5350624752 is about 1749.0470732518.

The spelling of 5350624752 in words is "five billion, three hundred fifty million, six hundred twenty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 71 88 106 132 142 159 176 212 213 264 284 318 424 426 528 568 583 636 781 848 852 1136 1166 1272 1562 1704 1749 2332 2343 2544 2693 3124 3408 3498 3763 4664 4686 5386 6248 6996 7526 8079 9328 9372 10772 11289 12496 13992 15052 16158 18744 21544 22578 27984 29623 30104 32316 37488 41393 43088 45156 59246 60208 64632 82786 88869 90312 118492 124179 129264 142729 165572 177738 180624 191203 236984 248358 285458 331144 355476 382406 428187 473968 496716 570916 573609 662288 710952 764812 856374 993432 1141832 1147218 1421904 1529624 1570019 1712748 1986864 2103233 2283664 2294436 3059248 3140038 3425496 4206466 4588872 4710057 6280076 6309699 6850992 8412932 9177744 9420114 10133759 12560152 12619398 16825864 18840228 20267518 25120304 25238796 30401277 33651728 37680456 40535036 50477592 60802554 75360912 81070072 100955184 111471349 121605108 162140144 222942698 243210216 334414047 445885396 486420432 668828094 891770792 1337656188 1783541584 2675312376 5350624752