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5345320656 = 2431317334943
BaseRepresentation
bin1001111101001101…
…10001111011010000
3111210112011102110010
410332212301323100
541421400230111
62242224434520
7246314322144
oct47646617320
914715142403
105345320656
1122a3326585
121052178a40
13672566c40
14389cb1224
15214418aa6
hex13e9b1ed0

5345320656 has 80 divisors (see below), whose sum is σ = 14882547456. Its totient is φ = 1643432448.

The previous prime is 5345320639. The next prime is 5345320663. The reversal of 5345320656 is 6560235435.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1078921 + ... + 1083863.

Almost surely, 25345320656 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 5345320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7441273728).

5345320656 is an abundant number, since it is smaller than the sum of its proper divisors (9537226800).

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

5345320656 is a wasteful number, since it uses less digits than its factorization.

5345320656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The square root of 5345320656 is about 73111.6998571364. The cubic root of 5345320656 is about 1748.4689363560.

The spelling of 5345320656 in words is "five billion, three hundred forty-five million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1733 3466 4943 5199 6932 9886 10398 13864 14829 19772 20796 22529 27728 29658 39544 41592 45058 59316 64259 67587 79088 83184 90116 118632 128518 135174 180232 192777 237264 257036 270348 360464 385554 514072 540696 771108 1028144 1081392 1542216 3084432 8566219 17132438 25698657 34264876 51397314 68529752 102794628 111360847 137059504 205589256 222721694 334082541 411178512 445443388 668165082 890886776 1336330164 1781773552 2672660328 5345320656