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16149376152 = 23327132464801
BaseRepresentation
bin11110000101001001…
…11110110010011000
31112200110220022100200
433002210332302120
5231033220014102
611230253102200
71111124301210
oct170244766230
945613808320
1016149376152
1169379a1368
123168487960
1316a49c71a0
14ad2b37240
15647ba051c
hex3c293ec98

16149376152 has 96 divisors (see below), whose sum is σ = 53831275680. Its totient is φ = 4259174400.

The previous prime is 16149376123. The next prime is 16149376153. The reversal of 16149376152 is 25167394161.

16149376152 is a `hidden beast` number, since 1 + 6 + 1 + 493 + 7 + 6 + 152 = 666.

16149376152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16149376098 and 16149376107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16149376153) 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 23 ways as a sum of consecutive naturals, for example, 1225849 + ... + 1238952.

It is an arithmetic number, because the mean of its divisors is an integer number (560742455).

Almost surely, 216149376152 is an apocalyptic number.

16149376152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16149376152 is an abundant number, since it is smaller than the sum of its proper divisors (37681899528).

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

16149376152 is a wasteful number, since it uses less digits than its factorization.

16149376152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464833 (or 2464826 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The spelling of 16149376152 in words is "sixteen billion, one hundred forty-nine million, three hundred seventy-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 2464801 4929602 7394403 9859204 14788806 17253607 19718408 22183209 29577612 32042413 34507214 44366418 51760821 59155224 64084826 69014428 88732836 96127239 103521642 128169652 138028856 155282463 177465672 192254478 207043284 224296891 256339304 288381717 310564926 384508956 414086568 448593782 576763434 621129852 672890673 769017912 897187564 1153526868 1242259704 1345781346 1794375128 2018672019 2307053736 2691562692 4037344038 5383125384 8074688076 16149376152