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1364201696 = 251113476343
BaseRepresentation
bin101000101010000…
…0001000011100000
310112001222121220202
41101110001003200
510243213423241
6343211324332
745543344264
oct12124010340
93461877822
101364201696
11640068a20
12320a506a8
13189826550
14cd2740a4
157eb72d9b
hex515010e0

1364201696 has 96 divisors (see below), whose sum is σ = 3222955008. Its totient is φ = 560125440.

The previous prime is 1364201689. The next prime is 1364201711. The reversal of 1364201696 is 6961024631.

It is a super-2 number, since 2×13642016962 = 3722092534738552832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211901 + ... + 218243.

It is an arithmetic number, because the mean of its divisors is an integer number (33572448).

Almost surely, 21364201696 is an apocalyptic number.

1364201696 is a gapful number since it is divisible by the number (16) 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 1364201696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611477504).

1364201696 is an abundant number, since it is smaller than the sum of its proper divisors (1858753312).

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

1364201696 is a wasteful number, since it uses less digits than its factorization.

1364201696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6416 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 1364201696 is about 36935.1011369943. The cubic root of 1364201696 is about 1109.0714567810.

The spelling of 1364201696 in words is "one billion, three hundred sixty-four million, two hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 47 52 88 94 104 143 176 188 208 286 352 376 416 517 572 611 752 1034 1144 1222 1504 2068 2288 2444 4136 4576 4888 6343 6721 8272 9776 12686 13442 16544 19552 25372 26884 50744 53768 69773 82459 101488 107536 139546 164918 202976 215072 279092 298121 329836 558184 596242 659672 907049 1116368 1192484 1319344 1814098 2232736 2384968 2638688 3279331 3628196 3875573 4769936 6558662 7256392 7751146 9539872 13117324 14512784 15502292 26234648 29025568 31004584 42631303 52469296 62009168 85262606 104938592 124018336 170525212 341050424 682100848 1364201696