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5601159072 = 253419910859
BaseRepresentation
bin1010011011101101…
…01110011110100000
3112110100120100210000
411031312232132200
542432344042242
62323444140000
7255542031555
oct51566563640
915410510700
105601159072
112414787793
121103997600
136b3571c12
143b1c6aa2c
1522bb02a4c
hex14ddae7a0

5601159072 has 120 divisors (see below), whose sum is σ = 16557156000. Its totient is φ = 1857499776.

The previous prime is 5601159071. The next prime is 5601159089. The reversal of 5601159072 is 2709511065.

5601159072 is a `hidden beast` number, since 5 + 60 + 1 + 1 + 590 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5601159071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 510379 + ... + 521237.

It is an arithmetic number, because the mean of its divisors is an integer number (137976300).

Almost surely, 25601159072 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 5601159072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8278578000).

5601159072 is an abundant number, since it is smaller than the sum of its proper divisors (10955996928).

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

5601159072 is a wasteful number, since it uses less digits than its factorization.

5601159072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11080 (or 11063 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 5601159072 is about 74840.8917103478. The cubic root of 5601159072 is about 1775.9305122557.

The spelling of 5601159072 in words is "five billion, six hundred one million, one hundred fifty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 199 216 288 324 398 432 597 648 796 864 1194 1296 1592 1791 2388 2592 3184 3582 4776 5373 6368 7164 9552 10746 10859 14328 16119 19104 21492 21718 28656 32238 32577 42984 43436 57312 64476 65154 85968 86872 97731 128952 130308 171936 173744 195462 257904 260616 293193 347488 390924 515808 521232 586386 781848 879579 1042464 1172772 1563696 1759158 2160941 2345544 3127392 3518316 4321882 4691088 6482823 7036632 8643764 9382176 12965646 14073264 17287528 19448469 25931292 28146528 34575056 38896938 51862584 58345407 69150112 77793876 103725168 116690814 155587752 175036221 207450336 233381628 311175504 350072442 466763256 622351008 700144884 933526512 1400289768 1867053024 2800579536 5601159072