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5601653680 = 2457172325583
BaseRepresentation
bin1010011011110001…
…00111001110110000
3112110101111111020211
411031320213032300
542433010404210
62323502513504
7255546161560
oct51570471660
915411444224
105601653680
112414a95357
121103b95894
136b36b609c
143b1d58da0
1522bb9e38a
hex14de273b0

5601653680 has 160 divisors (see below), whose sum is σ = 16445804544. Its totient is φ = 1728933888.

The previous prime is 5601653677. The next prime is 5601653683. The reversal of 5601653680 is 863561065.

It is an interprime number because it is at equal distance from previous prime (5601653677) and next prime (5601653683).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5601653683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206169 + ... + 231751.

Almost surely, 25601653680 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 5601653680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8222902272).

5601653680 is an abundant number, since it is smaller than the sum of its proper divisors (10844150864).

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

5601653680 is a wasteful number, since it uses less digits than its factorization.

5601653680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25643 (or 25637 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 5601653680 is about 74844.1960341615. The cubic root of 5601653680 is about 1775.9827849831.

The spelling of 5601653680 in words is "five billion, six hundred one million, six hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 23 28 34 35 40 46 56 68 70 80 85 92 112 115 119 136 140 161 170 184 230 238 272 280 322 340 368 391 460 476 560 595 644 680 782 805 920 952 1190 1288 1360 1564 1610 1840 1904 1955 2380 2576 2737 3128 3220 3910 4760 5474 6256 6440 7820 9520 10948 12880 13685 15640 21896 25583 27370 31280 43792 51166 54740 102332 109480 127915 179081 204664 218960 255830 358162 409328 434911 511660 588409 716324 869822 895405 1023320 1176818 1432648 1739644 1790810 2046640 2174555 2353636 2865296 2942045 3044377 3479288 3581620 4118863 4349110 4707272 5884090 6088754 6958576 7163240 8237726 8698220 9414544 10002953 11768180 12177508 14326480 15221885 16475452 17396440 20005906 20594315 23536360 24355016 30443770 32950904 34792880 40011812 41188630 47072720 48710032 50014765 60887540 65901808 70020671 80023624 82377260 100029530 121775080 140041342 160047248 164754520 200059060 243550160 280082684 329509040 350103355 400118120 560165368 700206710 800236240 1120330736 1400413420 2800826840 5601653680