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5406659604 = 223561671361
BaseRepresentation
bin1010000100100001…
…10001010000010100
3111221210120202200000
411002100301100110
542033101101404
62252255251300
7250660563663
oct50220612024
914853522600
105406659604
112324a11425
12106a819b30
13682192488
143940badda
152199d3339
hex142431414

5406659604 has 144 divisors (see below), whose sum is σ = 14631105216. Its totient is φ = 1744934400.

The previous prime is 5406659579. The next prime is 5406659639. The reversal of 5406659604 is 4069566045.

5406659604 is a `hidden beast` number, since 54 + 0 + 6 + 6 + 596 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5406659604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3971884 + ... + 3973244.

Almost surely, 25406659604 is an apocalyptic number.

5406659604 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5406659604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315552608).

5406659604 is an abundant number, since it is smaller than the sum of its proper divisors (9224445612).

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

5406659604 is a wasteful number, since it uses less digits than its factorization.

5406659604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 5406659604 is about 73529.9911872700. The cubic root of 5406659604 is about 1755.1315614721.

The spelling of 5406659604 in words is "five billion, four hundred six million, six hundred fifty-nine thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 67 81 108 122 134 162 183 201 243 244 268 324 366 402 486 549 603 732 804 972 1098 1206 1361 1647 1809 2196 2412 2722 3294 3618 4083 4087 4941 5427 5444 6588 7236 8166 8174 9882 10854 12249 12261 14823 16281 16332 16348 19764 21708 24498 24522 29646 32562 36747 36783 48996 49044 59292 65124 73494 73566 83021 91187 110241 110349 146988 147132 166042 182374 220482 220698 249063 273561 330723 331047 332084 364748 440964 441396 498126 547122 661446 662094 747189 820683 993141 996252 1094244 1322892 1324188 1494378 1641366 1986282 2241567 2462049 2988756 3282732 3972564 4483134 4924098 5562407 6724701 7386147 8966268 9848196 11124814 13449402 14772294 16687221 20174103 22158441 22249628 26898804 29544588 33374442 40348206 44316882 50061663 66748884 80696412 88633764 100123326 150184989 200246652 300369978 450554967 600739956 901109934 1351664901 1802219868 2703329802 5406659604