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1364865012 = 223372349739
BaseRepresentation
bin101000101011010…
…0010111111110100
310112010020022211000
41101112202333310
510243401140022
6343233443300
745552106200
oct12126427764
93463208730
101364865012
11640481315
12321110530
131899c9444
14cd3a7b00
157ec546ac
hex515a2ff4

1364865012 has 144 divisors (see below), whose sum is σ = 4133640000. Its totient is φ = 388317888.

The previous prime is 1364865001. The next prime is 1364865037. The reversal of 1364865012 is 2105684631.

It is a happy number.

1364865012 is a `hidden beast` number, since 1 + 3 + 648 + 6 + 5 + 0 + 1 + 2 = 666.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1846539 + ... + 1847277.

Almost surely, 21364865012 is an apocalyptic number.

1364865012 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 1364865012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066820000).

1364865012 is an abundant number, since it is smaller than the sum of its proper divisors (2768774988).

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

1364865012 is a wasteful number, since it uses less digits than its factorization.

1364865012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1364865012 is about 36944.0795256831. The cubic root of 1364865012 is about 1109.2511823163.

The spelling of 1364865012 in words is "one billion, three hundred sixty-four million, eight hundred sixty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 349 378 441 588 698 739 756 882 1047 1323 1396 1478 1764 2094 2217 2443 2646 2956 3141 4188 4434 4886 5173 5292 6282 6651 7329 8868 9423 9772 10346 12564 13302 14658 15519 17101 18846 19953 20692 21987 26604 29316 31038 34202 36211 37692 39906 43974 46557 51303 62076 65961 68404 72422 79812 87948 93114 102606 108633 131922 139671 144844 153909 186228 205212 217266 257911 263844 279342 307818 325899 434532 461727 515822 558684 615636 651798 773733 923454 977697 1031644 1303596 1547466 1805377 1846908 1955394 2321199 3094932 3610754 3910788 4642398 5416131 6963597 7221508 9284796 10832262 12637639 13927194 16248393 21664524 25275278 27854388 32496786 37912917 48745179 50550556 64993572 75825834 97490358 113738751 151651668 194980716 227477502 341216253 454955004 682432506 1364865012