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16010061564 = 2237838212797
BaseRepresentation
bin11101110100100011…
…00010011011111100
31112022202202101200010
432322101202123330
5230242033432224
611204355103220
71104513164220
oct167221423374
945282671603
1016010061564
116876298242
1231298a1b10
131681b99b13
14abc430780
1563a831e29
hex3ba4626fc

16010061564 has 96 divisors (see below), whose sum is σ = 43275972096. Its totient is φ = 4512072960.

The previous prime is 16010061539. The next prime is 16010061577. The reversal of 16010061564 is 46516001061.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5722614 + ... + 5725410.

It is an arithmetic number, because the mean of its divisors is an integer number (450791376).

Almost surely, 216010061564 is an apocalyptic number.

16010061564 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 16010061564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637986048).

16010061564 is an abundant number, since it is smaller than the sum of its proper divisors (27265910532).

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

16010061564 is a wasteful number, since it uses less digits than its factorization.

16010061564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 16010061564 in words is "sixteen billion, ten million, sixty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 821 996 1162 1642 1743 2324 2463 2797 3284 3486 4926 5594 5747 6972 8391 9852 11188 11494 16782 17241 19579 22988 33564 34482 39158 58737 68143 68964 78316 117474 136286 204429 232151 234948 272572 408858 464302 477001 696453 817716 928604 954002 1392906 1431003 1625057 1908004 2296337 2785812 2862006 3250114 4592674 4875171 5724012 6500228 6889011 9185348 9750342 13778022 16074359 19500684 27556044 32148718 48223077 64297436 96446154 190595971 192892308 381191942 571787913 762383884 1143575826 1334171797 2287151652 2668343594 4002515391 5336687188 8005030782 16010061564