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1066663152 = 243229733499
BaseRepresentation
bin111111100100111…
…111110011110000
32202100010002202200
4333210333303300
54141031210102
6253502143200
735301326052
oct7744776360
92670102680
101066663152
114a81158a5
12259281b00
1313ccaac39
14a19418d2
156399d51c
hex3f93fcf0

1066663152 has 120 divisors (see below), whose sum is σ = 3131310000. Its totient is φ = 338494464.

The previous prime is 1066663151. The next prime is 1066663153. The reversal of 1066663152 is 2513666601.

It is an interprime number because it is at equal distance from previous prime (1066663151) and next prime (1066663153).

It is a super-2 number, since 2×10666631522 = 2275540559669150208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066663151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303099 + ... + 306597.

It is an arithmetic number, because the mean of its divisors is an integer number (26094250).

Almost surely, 21066663152 is an apocalyptic number.

1066663152 is a gapful number since it is divisible by the number (12) 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 1066663152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565655000).

1066663152 is an abundant number, since it is smaller than the sum of its proper divisors (2064646848).

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

1066663152 is a wasteful number, since it uses less digits than its factorization.

1066663152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1066663152 is about 32659.8094299400. The cubic root of 1066663152 is about 1021.7447876392.

The spelling of 1066663152 in words is "one billion, sixty-six million, six hundred sixty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 73 87 116 144 146 174 219 232 261 292 348 438 464 522 584 657 696 876 1044 1168 1314 1392 1752 2088 2117 2628 3499 3504 4176 4234 5256 6351 6998 8468 10497 10512 12702 13996 16936 19053 20994 25404 27992 31491 33872 38106 41988 50808 55984 62982 76212 83976 101471 101616 125964 152424 167952 202942 251928 255427 304413 304848 405884 503856 510854 608826 766281 811768 913239 1021708 1217652 1532562 1623536 1826478 2043416 2298843 2435304 3065124 3652956 4086832 4597686 4870608 6130248 7305912 7407383 9195372 12260496 14611824 14814766 18390744 22222149 29629532 36781488 44444298 59259064 66666447 88888596 118518128 133332894 177777192 266665788 355554384 533331576 1066663152