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1331970048 = 214333011
BaseRepresentation
bin100111101100100…
…0100000000000000
310102211100002102000
41033121010000000
510211441020143
6340100424000
745002362413
oct11731040000
93384302360
101331970048
116239538a2
123120a8000
13182c4c876
14c8c83b7a
157be07bd3
hex4f644000

1331970048 has 120 divisors (see below), whose sum is σ = 3947768160. Its totient is φ = 443842560.

The previous prime is 1331970041. The next prime is 1331970061. The reversal of 1331970048 is 8400791331.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1331969994 and 1331970021.

It is not an unprimeable number, because it can be changed into a prime (1331970041) 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, 440863 + ... + 443873.

It is an arithmetic number, because the mean of its divisors is an integer number (32898068).

Almost surely, 21331970048 is an apocalyptic number.

1331970048 is a gapful number since it is divisible by the number (18) 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 1331970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973884080).

1331970048 is an abundant number, since it is smaller than the sum of its proper divisors (2615798112).

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

1331970048 is an frugal number, since it uses more digits than its factorization.

1331970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1331970048 is about 36496.1648396102. The cubic root of 1331970048 is about 1100.2671659600.

The spelling of 1331970048 in words is "one billion, three hundred thirty-one million, nine hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3011 3072 3456 4096 4608 6022 6144 6912 8192 9033 9216 12044 12288 13824 16384 18066 18432 24088 24576 27099 27648 36132 36864 48176 49152 54198 55296 72264 73728 81297 96352 108396 110592 144528 147456 162594 192704 216792 221184 289056 325188 385408 433584 442368 578112 650376 770816 867168 1156224 1300752 1541632 1734336 2312448 2601504 3083264 3468672 4624896 5203008 6166528 6937344 9249792 10406016 12333056 13874688 18499584 20812032 24666112 27749376 36999168 41624064 49332224 55498752 73998336 83248128 110997504 147996672 166496256 221995008 332992512 443990016 665985024 1331970048