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5660249216 = 27232179467
BaseRepresentation
bin1010100010110000…
…01000110010000000
3112121110202110012212
411101120020302000
543043010433331
62333354441252
7260160216206
oct52130106200
915543673185
105660249216
112445077016
12111b733228
136c28909bb
143b9a4d076
15231dc5d2b
hex151608c80

5660249216 has 96 divisors (see below), whose sum is σ = 11879103600. Its totient is φ = 2686188032.

The previous prime is 5660249209. The next prime is 5660249237. The reversal of 5660249216 is 6129420665.

It is a happy number.

It is a super-2 number, since 2×56602492162 = 64076842374457229312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12120215 + ... + 12120681.

Almost surely, 25660249216 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 5660249216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939551800).

5660249216 is an abundant number, since it is smaller than the sum of its proper divisors (6218854384).

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

5660249216 is a wasteful number, since it uses less digits than its factorization.

5660249216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 5660249216 is about 75234.6277720572. The cubic root of 5660249216 is about 1782.1538141439.

The spelling of 5660249216 in words is "five billion, six hundred sixty million, two hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 179 184 358 368 467 529 716 736 934 1058 1432 1472 1868 2116 2864 2944 3736 4117 4232 5728 7472 8234 8464 10741 11456 14944 16468 16928 21482 22912 29888 32936 33856 42964 59776 65872 67712 83593 85928 94691 131744 167186 171856 189382 247043 263488 334372 343712 378764 494086 526976 668744 687424 757528 988172 1337488 1374848 1515056 1922639 1976344 2674976 3030112 3845278 3952688 5349952 6060224 7690556 7905376 10699904 12120448 15381112 15810752 30762224 31621504 44220697 61524448 88441394 123048896 176882788 246097792 353765576 707531152 1415062304 2830124608 5660249216