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1064011050 = 2325223223461
BaseRepresentation
bin111111011010111…
…000010100101010
32202011010100202200
4333122320110222
54134341323200
6253325241030
735236642014
oct7732702452
92664110680
101064011050
114a6674283
12258403176
1313c58ca4b
14a14511b4
1563627800
hex3f6b852a

1064011050 has 144 divisors (see below), whose sum is σ = 3002807808. Its totient is φ = 269596800.

The previous prime is 1064011033. The next prime is 1064011099. The reversal of 1064011050 is 501104601.

1064011050 is a `hidden beast` number, since 10 + 640 + 1 + 10 + 5 + 0 = 666.

It is a super-2 number, since 2×10640110502 = 2264239029044205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2307820 + ... + 2308280.

It is an arithmetic number, because the mean of its divisors is an integer number (20852832).

Almost surely, 21064011050 is an apocalyptic number.

1064011050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064011050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501403904).

1064011050 is an abundant number, since it is smaller than the sum of its proper divisors (1938796758).

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

1064011050 is a wasteful number, since it uses less digits than its factorization.

1064011050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1064011050 is about 32619.1822399029. The cubic root of 1064011050 is about 1020.8972784970.

Adding to 1064011050 its reverse (501104601), we get a palindrome (1565115651).

The spelling of 1064011050 in words is "one billion, sixty-four million, eleven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 223 225 230 345 414 446 450 461 575 669 690 922 1035 1115 1150 1338 1383 1725 2007 2070 2230 2305 2766 3345 3450 4014 4149 4610 5129 5175 5575 6690 6915 8298 10035 10258 10350 10603 11150 11525 13830 15387 16725 20070 20745 21206 23050 25645 30774 31809 33450 34575 41490 46161 50175 51290 53015 63618 69150 76935 92322 95427 100350 102803 103725 106030 128225 153870 159045 190854 205606 207450 230805 256450 265075 308409 318090 384675 461610 477135 514015 530150 616818 769350 795225 925227 954270 1028030 1154025 1542045 1590450 1850454 2308050 2364469 2385675 2570075 3084090 4626135 4728938 4771350 5140150 7093407 7710225 9252270 11822345 14186814 15420450 21280221 23130675 23644690 35467035 42560442 46261350 59111725 70934070 106401105 118223450 177335175 212802210 354670350 532005525 1064011050