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1011542064 = 243132196563
BaseRepresentation
bin111100010010101…
…110100000110000
32121111101122211220
4330102232200300
54032423321224
6244212505040
734031652141
oct7422564060
92544348756
101011542064
11479a97585
1224291b180
1313174b900
14984b3ac8
155dc11279
hex3c4ae830

1011542064 has 120 divisors (see below), whose sum is σ = 2979005760. Its totient is φ = 294817536.

The previous prime is 1011542033. The next prime is 1011542071. The reversal of 1011542064 is 4602451101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150847 + ... + 157409.

It is an arithmetic number, because the mean of its divisors is an integer number (24825048).

Almost surely, 21011542064 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 1011542064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489502880).

1011542064 is an abundant number, since it is smaller than the sum of its proper divisors (1967463696).

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

1011542064 is a wasteful number, since it uses less digits than its factorization.

1011542064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 1011542064 is about 31804.7490793435. The cubic root of 1011542064 is about 1003.8326467196.

Adding to 1011542064 its reverse (4602451101), we get a palindrome (5613993165).

The spelling of 1011542064 in words is "one billion, eleven million, five hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 169 208 228 247 304 312 338 456 494 507 624 676 741 912 988 1014 1352 1482 1976 2028 2704 2964 3211 3952 4056 5928 6422 6563 8112 9633 11856 12844 13126 19266 19689 25688 26252 38532 39378 51376 52504 77064 78756 85319 105008 124697 154128 157512 170638 249394 255957 315024 341276 374091 498788 511914 682552 748182 997576 1023828 1109147 1365104 1496364 1621061 1995152 2047656 2218294 2992728 3242122 3327441 4095312 4436588 4863183 5985456 6484244 6654882 8873176 9726366 12968488 13309764 17746352 19452732 21073793 25936976 26619528 38905464 42147586 53239056 63221379 77810928 84295172 126442758 168590344 252885516 337180688 505771032 1011542064