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1347473664 = 2833383509
BaseRepresentation
bin101000001010000…
…1101000100000000
310110220111202101000
41100110031010000
510224423124124
6341413012000
745251223435
oct12024150400
93426452330
101347473664
116316829a9
12317324000
1318621a4c4
14cad5bb8c
157d46b6c9
hex5050d100

1347473664 has 144 divisors (see below), whose sum is σ = 4002969600. Its totient is φ = 447105024.

The previous prime is 1347473629. The next prime is 1347473681. The reversal of 1347473664 is 4663747431.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647042 + ... + 2647550.

It is an arithmetic number, because the mean of its divisors is an integer number (27798400).

Almost surely, 21347473664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1347473664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001484800).

1347473664 is an abundant number, since it is smaller than the sum of its proper divisors (2655495936).

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

1347473664 is an equidigital number, since it uses as much as digits as its factorization.

1347473664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 897 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 1347473664 is about 36707.9509643347. The cubic root of 1347473664 is about 1104.5196041781.

The spelling of 1347473664 in words is "one billion, three hundred forty-seven million, four hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 383 384 432 509 576 766 768 864 1018 1149 1152 1527 1532 1728 2036 2298 2304 3054 3064 3447 3456 4072 4581 4596 6108 6128 6894 6912 8144 9162 9192 10341 12216 12256 13743 13788 16288 18324 18384 20682 24432 24512 27486 27576 32576 36648 36768 41364 48864 49024 54972 55152 65152 73296 73536 82728 97728 98048 109944 110304 130304 146592 147072 165456 194947 195456 219888 220608 293184 294144 330912 389894 390912 439776 441216 584841 586368 661824 779788 879552 882432 1169682 1172736 1323648 1559576 1754523 1759104 2339364 2647296 3119152 3509046 3518208 4678728 5263569 6238304 7018092 9357456 10527138 12476608 14036184 18714912 21054276 24953216 28072368 37429824 42108552 49906432 56144736 74859648 84217104 112289472 149719296 168434208 224578944 336868416 449157888 673736832 1347473664