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1361616048 = 243313242453
BaseRepresentation
bin101000100101000…
…1001110010110000
310111220010021002000
41101022021302300
510242033203143
6343040054000
745512355042
oct12112116260
93456107060
101361616048
11639662321
12320004300
1318912c690
14ccb9da92
157e811bd3
hex51289cb0

1361616048 has 80 divisors (see below), whose sum is σ = 4209001440. Its totient is φ = 418957056.

The previous prime is 1361616041. The next prime is 1361616083. The reversal of 1361616048 is 8406161631.

1361616048 is a `hidden beast` number, since 1 + 36 + 1 + 616 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×13616160482 = 3707996524342276608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1361616041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115611 + ... + 126842.

It is an arithmetic number, because the mean of its divisors is an integer number (52612518).

Almost surely, 21361616048 is an apocalyptic number.

1361616048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1361616048 is an abundant number, since it is smaller than the sum of its proper divisors (2847385392).

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

1361616048 is a wasteful number, since it uses less digits than its factorization.

1361616048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242483 (or 242471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1361616048 is about 36900.0819511285. The cubic root of 1361616048 is about 1108.3703185100.

Adding to 1361616048 its reverse (8406161631), we get a palindrome (9767777679).

The spelling of 1361616048 in words is "one billion, three hundred sixty-one million, six hundred sixteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 242453 484906 727359 969812 1454718 1939624 2182077 2909436 3151889 3879248 4364154 5818872 6303778 6546231 8728308 9455667 11637744 12607556 13092462 17456616 18911334 25215112 26184924 28367001 34913232 37822668 50430224 52369848 56734002 75645336 85101003 104739696 113468004 151290672 170202006 226936008 340404012 453872016 680808024 1361616048