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2066159520 = 253252949477
BaseRepresentation
bin111101100100111…
…0001011110100000
312022222211210000200
41323021301132200
513212414101040
6541004545200
7102126031455
oct17311613640
95288753020
102066159520
11970325257
12497b52200
1326c09cac9
1415859b82c
15c15d0630
hex7b2717a0

2066159520 has 144 divisors (see below), whose sum is σ = 7294046760. Its totient is φ = 531965952.

The previous prime is 2066159509. The next prime is 2066159533. The reversal of 2066159520 is 259516602.

2066159520 is a `hidden beast` number, since 2 + 0 + 6 + 61 + 595 + 2 + 0 = 666.

2066159520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1413459216 + 652700304 = 37596^2 + 25548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17022 + ... + 66498.

Almost surely, 22066159520 is an apocalyptic number.

2066159520 is a gapful number since it is divisible by the number (20) 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 2066159520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3647023380).

2066159520 is an abundant number, since it is smaller than the sum of its proper divisors (5227887240).

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

2066159520 is a wasteful number, since it uses less digits than its factorization.

2066159520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49527 (or 49516 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2066159520 is about 45455.0274447173. The cubic root of 2066159520 is about 1273.6632448939.

The spelling of 2066159520 in words is "two billion, sixty-six million, one hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 6960 8352 10440 13920 20880 41760 49477 98954 148431 197908 247385 296862 395816 445293 494770 593724 742155 791632 890586 989540 1187448 1434833 1484310 1583264 1781172 1979080 2226465 2374896 2869666 2968620 3562344 3958160 4304499 4452930 4749792 5739332 5937240 7124688 7174165 7916320 8608998 8905860 11478664 11874480 12913497 14249376 14348330 17217996 17811720 21522495 22957328 23748960 25826994 28696660 34435992 35623440 43044990 45914656 51653988 57393320 64567485 68871984 71246880 86089980 103307976 114786640 129134970 137743968 172179960 206615952 229573280 258269940 344359920 413231904 516539880 688719840 1033079760 2066159520