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16720241616 = 243413992417
BaseRepresentation
bin11111001001001101…
…01010001111010000
31121011021002021120000
433210212222033100
5233220340212431
611403044450000
71131225465051
oct174446521720
947137067500
1016720241616
117100160001
1232a76a9900
1317660619c0
14b48898728
1567cd659e6
hex3e49aa3d0

16720241616 has 100 divisors (see below), whose sum is σ = 52115838852. Its totient is φ = 5144684544.

The previous prime is 16720241543. The next prime is 16720241617. The reversal of 16720241616 is 61614202761.

16720241616 is a `hidden beast` number, since 16 + 7 + 2 + 0 + 24 + 1 + 616 = 666.

16720241616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1835265600 + 14884976016 = 42840^2 + 122004^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16720241617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479361 + ... + 513056.

Almost surely, 216720241616 is an apocalyptic number.

16720241616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16720241616 is an abundant number, since it is smaller than the sum of its proper divisors (35395597236).

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

16720241616 is a wasteful number, since it uses less digits than its factorization.

16720241616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992450 (or 992435 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 16720241616 in words is "sixteen billion, seven hundred twenty million, two hundred forty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 992417 1984834 2977251 3969668 5954502 7939336 8931753 11909004 12901421 15878672 17863506 23818008 25802842 26795259 35727012 38704263 47636016 51605684 53590518 71454024 77408526 80385777 103211368 107181036 116112789 142908048 154817052 160771554 206422736 214362072 232225578 309634104 321543108 348338367 428724144 464451156 619268208 643086216 696676734 928902312 1045015101 1286172432 1393353468 1857804624 2090030202 2786706936 4180060404 5573413872 8360120808 16720241616