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16040704128 = 273373133607
BaseRepresentation
bin11101111000001100…
…11011100010000000
31112101220102012100220
432330012123202000
5230322410013003
611211411543040
71105334510151
oct167406334200
945356365326
1016040704128
116891617479
123137bbaa80
131688338407
14ac2529928
1563d386353
hex3bc19b880

16040704128 has 128 divisors (see below), whose sum is σ = 43911669120. Its totient is φ = 5184331776.

The previous prime is 16040704123. The next prime is 16040704171. The reversal of 16040704128 is 82140704061.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (16040704123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4445301 + ... + 4448907.

It is an arithmetic number, because the mean of its divisors is an integer number (343059915).

Almost surely, 216040704128 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 16040704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21955834560).

16040704128 is an abundant number, since it is smaller than the sum of its proper divisors (27870964992).

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

16040704128 is a wasteful number, since it uses less digits than its factorization.

16040704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 16040704128 in words is "sixteen billion, forty million, seven hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 313 384 444 592 626 888 939 1184 1252 1776 1878 2368 2504 3552 3607 3756 4736 5008 7104 7214 7512 10016 10821 11581 14208 14428 15024 20032 21642 23162 28856 30048 34743 40064 43284 46324 57712 60096 69486 86568 92648 115424 120192 133459 138972 173136 185296 230848 266918 277944 346272 370592 400377 461696 533836 555888 692544 741184 800754 1067672 1111776 1128991 1385088 1482368 1601508 2135344 2223552 2257982 3203016 3386973 4270688 4447104 4515964 6406032 6773946 8541376 9031928 12812064 13547892 17082752 18063856 25624128 27095784 36127712 41772667 51248256 54191568 72255424 83545334 108383136 125318001 144510848 167090668 216766272 250636002 334181336 433532544 501272004 668362672 1002544008 1336725344 2005088016 2673450688 4010176032 5346901376 8020352064 16040704128