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5605660000 = 25542411163
BaseRepresentation
bin1010011100001111…
…11001010101100000
3112110200001000220001
411032013321111200
542440022110000
62324124425344
7255625216033
oct51607712540
915420030801
105605660000
112417281366
1211053a8254
136b44897a5
143b26bd01a
1522c1e146a
hex14e1f9560

5605660000 has 120 divisors (see below), whose sum is σ = 13859894664. Its totient is φ = 2231040000.

The previous prime is 5605659977. The next prime is 5605660031. The reversal of 5605660000 is 665065.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4819419 + ... + 4820581.

Almost surely, 25605660000 is an apocalyptic number.

5605660000 is a gapful number since it is divisible by the number (50) 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 5605660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6929947332).

5605660000 is an abundant number, since it is smaller than the sum of its proper divisors (8254234664).

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

5605660000 is a wasteful number, since it uses less digits than its factorization.

5605660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 5605660000 is about 74870.9556503722. The cubic root of 5605660000 is about 1776.4060802081.

The spelling of 5605660000 in words is "five billion, six hundred five million, six hundred sixty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 241 250 400 482 500 625 800 964 1000 1163 1205 1250 1928 2000 2326 2410 2500 3856 4000 4652 4820 5000 5815 6025 7712 9304 9640 10000 11630 12050 18608 19280 20000 23260 24100 29075 30125 37216 38560 46520 48200 58150 60250 93040 96400 116300 120500 145375 150625 186080 192800 232600 241000 280283 290750 301250 465200 482000 560566 581500 602500 726875 930400 964000 1121132 1163000 1205000 1401415 1453750 2242264 2326000 2410000 2802830 2907500 4484528 4652000 4820000 5605660 5815000 7007075 8969056 11211320 11630000 14014150 22422640 23260000 28028300 35035375 44845280 56056600 70070750 112113200 140141500 175176875 224226400 280283000 350353750 560566000 700707500 1121132000 1401415000 2802830000 5605660000