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13491466560 = 263251113174147
BaseRepresentation
bin11001001000010011…
…10111000101000000
31021211020120111211200
430210021313011000
5210112303412220
610110424541200
7655221400515
oct144411670500
937736514750
1013491466560
1157a3643570
122746321800
131370159910
1491db3d30c
1553e681890
hex324277140

13491466560 has 1344 divisors, whose sum is σ = 60390779904. Its totient is φ = 2713190400.

The previous prime is 13491466559. The next prime is 13491466673. The reversal of 13491466560 is 6566419431.

13491466560 is a `hidden beast` number, since 1 + 3 + 49 + 1 + 46 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287052457 + ... + 287052503.

It is an arithmetic number, because the mean of its divisors is an integer number (44933616).

Almost surely, 213491466560 is an apocalyptic number.

13491466560 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 13491466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30195389952).

13491466560 is an abundant number, since it is smaller than the sum of its proper divisors (46899313344).

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

13491466560 is a wasteful number, since it uses less digits than its factorization.

13491466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13491466560 in words is "thirteen billion, four hundred ninety-one million, four hundred sixty-six thousand, five hundred sixty".