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1349324385480 = 2333519231111641
BaseRepresentation
bin10011101000101010000…
…000000010110011001000
311202222211201212211222000
4103220222000002303020
5134101404020313410
62511512052231000
7166325342015451
oct23505200026310
94688751784860
101349324385480
11480277491035
1219961200b460
139a318bb5356
144944428c128
1525174312dc0
hex13a2a002cc8

1349324385480 has 384 divisors, whose sum is σ = 4900101350400. Its totient is φ = 329882803200.

The previous prime is 1349324385469. The next prime is 1349324385503. The reversal of 1349324385480 is 845834239431.

1349324385480 is a `hidden beast` number, since 1 + 3 + 4 + 93 + 2 + 4 + 3 + 8 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12030460 + ... + 12142100.

It is an arithmetic number, because the mean of its divisors is an integer number (12760680600).

Almost surely, 21349324385480 is an apocalyptic number.

1349324385480 is a gapful number since it is divisible by the number (10) 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 1349324385480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450050675200).

1349324385480 is an abundant number, since it is smaller than the sum of its proper divisors (3550776964920).

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

1349324385480 is a wasteful number, since it uses less digits than its factorization.

1349324385480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111730 (or 111701 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1349324385480 in words is "one trillion, three hundred forty-nine billion, three hundred twenty-four million, three hundred eighty-five thousand, four hundred eighty".