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1349162656 = 253112710709
BaseRepresentation
bin101000001101010…
…1001011010100000
310111000200120020021
41100122221122200
510230341201111
6341513123224
745301456552
oct12032513240
93430616207
101349162656
11632626966
123179b9514
1318668c1ca
14cb27b4d2
157d6a1d71
hex506a96a0

1349162656 has 48 divisors (see below), whose sum is σ = 2763694080. Its totient is φ = 647619840.

The previous prime is 1349162629. The next prime is 1349162657. The reversal of 1349162656 is 6562619431.

It is not an unprimeable number, because it can be changed into a prime (1349162657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120630 + ... + 131338.

It is an arithmetic number, because the mean of its divisors is an integer number (57576960).

Almost surely, 21349162656 is an apocalyptic number.

1349162656 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 1349162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381847040).

1349162656 is an abundant number, since it is smaller than the sum of its proper divisors (1414531424).

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

1349162656 is a wasteful number, since it uses less digits than its factorization.

1349162656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10877 (or 10869 counting only the distinct ones).

The product of its digits is 233280, while the sum is 43.

The square root of 1349162656 is about 36730.9495657273. The cubic root of 1349162656 is about 1104.9808985048.

The spelling of 1349162656 in words is "one billion, three hundred forty-nine million, one hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 124 127 248 254 496 508 992 1016 2032 3937 4064 7874 10709 15748 21418 31496 42836 62992 85672 125984 171344 331979 342688 663958 1327916 1360043 2655832 2720086 5311664 5440172 10623328 10880344 21760688 42161333 43521376 84322666 168645332 337290664 674581328 1349162656