Search a number
-
+
2015708032128 = 2737749891381
BaseRepresentation
bin11101010101010001100…
…011111010110010000000
321010200220011021120010210
4131111101203322302000
5231011132224012003
64142000430354120
7265426060401060
oct35252143726200
97120804246123
102015708032128
117079476a891a
122867a865b940
131181079a273b
146d7bcb3d3a0
153767704e503
hex1d5518fac80

2015708032128 has 64 divisors (see below), whose sum is σ = 6119113677120. Its totient is φ = 575916579840.

The previous prime is 2015708032127. The next prime is 2015708032139. The reversal of 2015708032128 is 8212308075102.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2015708032127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 374943003 + ... + 374948378.

It is an arithmetic number, because the mean of its divisors is an integer number (95611151205).

Almost surely, 22015708032128 is an apocalyptic number.

2015708032128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2015708032128 is an abundant number, since it is smaller than the sum of its proper divisors (4103405644992).

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

2015708032128 is an equidigital number, since it uses as much as digits as its factorization.

2015708032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749891405 (or 749891393 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 2015708032128 in words is "two trillion, fifteen billion, seven hundred eight million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 749891381 1499782762 2249674143 2999565524 4499348286 5249239667 5999131048 8998696572 10498479334 11998262096 15747719001 17997393144 20996958668 23996524192 31495438002 35994786288 41993917336 47993048384 62990876004 71989572576 83987834672 95986096768 125981752008 143979145152 167975669344 251963504016 287958290304 335951338688 503927008032 671902677376 1007854016064 2015708032128