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1364302912 = 26729173607
BaseRepresentation
bin101000101010001…
…1001110001000000
310112002011202202111
41101110121301000
510243230143122
6343213425104
745544245340
oct12124316100
93462152674
101364302912
11640127a75
12320a9b194
1318986063b
14cd29cd20
157eb92d77
hex51519c40

1364302912 has 112 divisors (see below), whose sum is σ = 3224540160. Its totient is φ = 560351232.

The previous prime is 1364302897. The next prime is 1364302939. The reversal of 1364302912 is 2192034631.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×13643029122 = 3722644871383359488, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2247313 + ... + 2247919.

Almost surely, 21364302912 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 1364302912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612270080).

1364302912 is an abundant number, since it is smaller than the sum of its proper divisors (1860237248).

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

1364302912 is a wasteful number, since it uses less digits than its factorization.

1364302912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 1364302912 is about 36936.4712987042. The cubic root of 1364302912 is about 1109.0988850322.

The spelling of 1364302912 in words is "one billion, three hundred sixty-four million, three hundred two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 173 203 224 232 346 406 448 464 607 692 812 928 1211 1214 1384 1624 1856 2422 2428 2768 3248 4249 4844 4856 5017 5536 6496 8498 9688 9712 10034 11072 12992 16996 17603 19376 19424 20068 33992 35119 35206 38752 38848 40136 67984 70238 70412 77504 80272 105011 123221 135968 140476 140824 160544 210022 246442 271936 280952 281648 321088 420044 492884 561904 563296 735077 840088 985768 1123808 1126592 1470154 1680176 1971536 2247616 2940308 3045319 3360352 3943072 5880616 6090638 6720704 7886144 11761232 12181276 21317233 23522464 24362552 42634466 47044928 48725104 85268932 97450208 170537864 194900416 341075728 682151456 1364302912