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1348662683424 = 253719105628343
BaseRepresentation
bin10011101000000010100…
…011110110011100100000
311202221010121202220101110
4103220002203312130200
5134044030121332144
62511322253503320
7166303055443110
oct23500243663440
94687117686343
101348662683424
1147aa67a1a531
121994684a1b40
139a241a94b84
14493c0443040
15251361a80b9
hex13a028f6720

1348662683424 has 96 divisors (see below), whose sum is σ = 4258934830080. Its totient is φ = 365051549952.

The previous prime is 1348662683413. The next prime is 1348662683491. The reversal of 1348662683424 is 4243862668431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 52801404 + ... + 52826939.

It is an arithmetic number, because the mean of its divisors is an integer number (44363904480).

Almost surely, 21348662683424 is an apocalyptic number.

1348662683424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1348662683424 is an abundant number, since it is smaller than the sum of its proper divisors (2910272146656).

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

1348662683424 is a wasteful number, since it uses less digits than its factorization.

1348662683424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105628382 (or 105628374 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 1348662683424 in words is "one trillion, three hundred forty-eight billion, six hundred sixty-two million, six hundred eighty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 12768 105628343 211256686 316885029 422513372 633770058 739398401 845026744 1267540116 1478796802 1690053488 2006938517 2218195203 2535080232 2957593604 3380106976 4013877034 4436390406 5070160464 5915187208 6020815551 8027754068 8872780812 10140320928 11830374416 12041631102 14048569619 16055508136 17745561624 23660748832 24083262204 28097139238 32111016272 35491123248 42145708857 48166524408 56194278476 64222032544 70982246496 84291417714 96333048816 112388556952 168582835428 192666097632 224777113904 337165670856 449554227808 674331341712 1348662683424