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1063141464 = 233711653881
BaseRepresentation
bin111111010111100…
…100000001011000
32202002111011220210
4333113210001120
54134131011324
6253254451120
735226360540
oct7727440130
92662434823
101063141464
114a612aa10
12258063aa0
1313c346cb8
14a12a6320
1563504d29
hex3f5e4058

1063141464 has 128 divisors (see below), whose sum is σ = 3322529280. Its totient is φ = 275404800.

The previous prime is 1063141463. The next prime is 1063141477. The reversal of 1063141464 is 4641413601.

1063141464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10631414642 = 2260539544952126592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063141463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206304 + ... + 1207184.

It is an arithmetic number, because the mean of its divisors is an integer number (25957260).

Almost surely, 21063141464 is an apocalyptic number.

1063141464 is a gapful number since it is divisible by the number (14) 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 1063141464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661264640).

1063141464 is an abundant number, since it is smaller than the sum of its proper divisors (2259387816).

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

1063141464 is a wasteful number, since it uses less digits than its factorization.

1063141464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1063141464 is about 32605.8501499348. The cubic root of 1063141464 is about 1020.6190859171.

The spelling of 1063141464 in words is "one billion, sixty-three million, one hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 653 881 924 1306 1762 1848 1959 2612 2643 3524 3918 4571 5224 5286 6167 7048 7183 7836 9142 9691 10572 12334 13713 14366 15672 18284 18501 19382 21144 21549 24668 27426 28732 29073 36568 37002 38764 43098 49336 50281 54852 57464 58146 67837 74004 77528 86196 100562 109704 116292 135674 148008 150843 172392 201124 203511 232584 271348 301686 402248 407022 542696 575293 603372 814044 1150586 1206744 1628088 1725879 2301172 3451758 4027051 4602344 6328223 6903516 8054102 12081153 12656446 13807032 16108204 18984669 24162306 25312892 32216408 37969338 44297561 48324612 50625784 75938676 88595122 96649224 132892683 151877352 177190244 265785366 354380488 531570732 1063141464