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13364132352 = 29310098623
BaseRepresentation
bin11000111001001000…
…00111101000000000
31021111100222021010220
430130210013220000
5204332204213402
610050035423040
7652114151664
oct143444075000
937440867126
1013364132352
11573878248a
12270b754a80
13134c96562c
1490ac748a4
155333ccdbc
hex31c907a00

13364132352 has 80 divisors (see below), whose sum is σ = 35642302080. Its totient is φ = 4449779712.

The previous prime is 13364132339. The next prime is 13364132389. The reversal of 13364132352 is 25323146331.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545513 + ... + 1554135.

It is an arithmetic number, because the mean of its divisors is an integer number (445528776).

Almost surely, 213364132352 is an apocalyptic number.

13364132352 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 13364132352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821151040).

13364132352 is an abundant number, since it is smaller than the sum of its proper divisors (22278169728).

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

13364132352 is an equidigital number, since it uses as much as digits as its factorization.

13364132352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9653 (or 9637 counting only the distinct ones).

The product of its digits is 38880, while the sum is 33.

Adding to 13364132352 its reverse (25323146331), we get a palindrome (38687278683).

The spelling of 13364132352 in words is "thirteen billion, three hundred sixty-four million, one hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1009 1536 2018 3027 4036 6054 8072 8623 12108 16144 17246 24216 25869 32288 34492 48432 51738 64576 68984 96864 103476 129152 137968 193728 206952 258304 275936 387456 413904 516608 551872 774912 827808 1103744 1549824 1655616 2207488 3311232 4414976 6622464 8700607 13244928 17401214 26101821 34802428 52203642 69604856 104407284 139209712 208814568 278419424 417629136 556838848 835258272 1113677696 1670516544 2227355392 3341033088 4454710784 6682066176 13364132352