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5210993216 = 2611134391297
BaseRepresentation
bin1001101101001100…
…10111001001000000
3111110011101212211202
410312212113021000
541133003240331
62221025400332
7243063466022
oct46646271100
914404355752
105210993216
112234519370
1210151990a8
13650794850
14376106012
15207732ecb
hex136997240

5210993216 has 112 divisors (see below), whose sum is σ = 12185416320. Its totient is φ = 2179768320.

The previous prime is 5210993189. The next prime is 5210993251. The reversal of 5210993216 is 6123990125.

It is a self number, because there is not a number n which added to its sum of digits gives 5210993216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4017080 + ... + 4018376.

It is an arithmetic number, because the mean of its divisors is an integer number (108798360).

Almost surely, 25210993216 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 5210993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6092708160).

5210993216 is an abundant number, since it is smaller than the sum of its proper divisors (6974423104).

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

5210993216 is a wasteful number, since it uses less digits than its factorization.

5210993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 5210993216 is about 72187.2095041774. The cubic root of 5210993216 is about 1733.6982172000.

The spelling of 5210993216 in words is "five billion, two hundred ten million, nine hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 439 572 704 832 878 1144 1297 1756 2288 2594 3512 4576 4829 5188 5707 7024 9152 9658 10376 11414 14048 14267 16861 19316 20752 22828 28096 28534 33722 38632 41504 45656 57068 62777 67444 77264 83008 91312 114136 125554 134888 154528 182624 185471 228272 251108 269776 309056 365248 370942 456544 502216 539552 569383 741884 913088 1004432 1079104 1138766 1483768 2008864 2277532 2967536 4017728 4555064 5935072 6263213 7401979 9110128 11870144 12526426 14803958 18220256 25052852 29607916 36440512 50105704 59215832 81421769 100211408 118431664 162843538 200422816 236863328 325687076 400845632 473726656 651374152 1302748304 2605496608 5210993216