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1542323664 = 2432715110133
BaseRepresentation
bin101101111101101…
…1111110111010000
310222111011011022200
41123323133313100
511124313324124
6413013203200
753135351310
oct13373376720
93874134280
101542323664
11721668662
12370630500
131b76c066b
14108b9d440
1590609bc9
hex5bedfdd0

1542323664 has 120 divisors (see below), whose sum is σ = 4966146432. Its totient is φ = 437702400.

The previous prime is 1542323611. The next prime is 1542323677. The reversal of 1542323664 is 4663232451.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147142 + ... + 157274.

Almost surely, 21542323664 is an apocalyptic number.

1542323664 is a gapful number since it is divisible by the number (14) 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 1542323664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483073216).

1542323664 is an abundant number, since it is smaller than the sum of its proper divisors (3423822768).

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

1542323664 is a wasteful number, since it uses less digits than its factorization.

1542323664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10305 (or 10296 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 1542323664 is about 39272.4288018961. The cubic root of 1542323664 is about 1155.3808739952.

The spelling of 1542323664 in words is "one billion, five hundred forty-two million, three hundred twenty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 151 168 252 302 336 453 504 604 906 1008 1057 1208 1359 1812 2114 2416 2718 3171 3624 4228 5436 6342 7248 8456 9513 10133 10872 12684 16912 19026 20266 21744 25368 30399 38052 40532 50736 60798 70931 76104 81064 91197 121596 141862 152208 162128 182394 212793 243192 283724 364788 425586 486384 567448 638379 729576 851172 1134896 1276758 1459152 1530083 1702344 2553516 3060166 3404688 4590249 5107032 6120332 9180498 10214064 10710581 12240664 13770747 18360996 21421162 24481328 27541494 32131743 36721992 42842324 55082988 64263486 73443984 85684648 96395229 110165976 128526972 171369296 192790458 220331952 257053944 385580916 514107888 771161832 1542323664