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1918934064 = 2435736761
BaseRepresentation
bin111001001100000…
…1001110000110000
311221201210221200000
41302120021300300
512412221342224
6514225230000
765360445645
oct16230116060
94851727600
101918934064
118a5208623
12456792300
13247732a58
14142bd5dcc
15b36ed0c9
hex72609c30

1918934064 has 120 divisors (see below), whose sum is σ = 5646378192. Its totient is φ = 630789120.

The previous prime is 1918934063. The next prime is 1918934081. The reversal of 1918934064 is 4604398191.

It is not an unprimeable number, because it can be changed into a prime (1918934063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280444 + ... + 287204.

Almost surely, 21918934064 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 1918934064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823189096).

1918934064 is an abundant number, since it is smaller than the sum of its proper divisors (3727444128).

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

1918934064 is an equidigital number, since it uses as much as digits as its factorization.

1918934064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6857 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 1918934064 is about 43805.6396369235. The cubic root of 1918934064 is about 1242.6629520960.

The spelling of 1918934064 in words is "one billion, nine hundred eighteen million, nine hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 486 584 648 657 876 972 1168 1296 1314 1752 1944 1971 2628 3504 3888 3942 5256 5913 6761 7884 10512 11826 13522 15768 17739 20283 23652 27044 31536 35478 40566 47304 54088 60849 70956 81132 94608 108176 121698 141912 162264 182547 243396 283824 324528 365094 486792 493553 547641 730188 973584 987106 1095282 1460376 1480659 1642923 1974212 2190564 2920752 2961318 3285846 3948424 4381128 4441977 5922636 6571692 7896848 8762256 8883954 11845272 13143384 13325931 17767908 23690544 26286768 26651862 35535816 39977793 53303724 71071632 79955586 106607448 119933379 159911172 213214896 239866758 319822344 479733516 639644688 959467032 1918934064