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20150964216 = 2334195330881
BaseRepresentation
bin10010110001000101…
…110100111111111000
31221000100121001020000
4102301011310333320
5312232121323331
613131321033000
71312234240545
oct226105647770
957010531200
1020150964216
11860076a739
123aa4625760
131b91a53686
14d92381bcc
157ce13b0e6
hex4b1174ff8

20150964216 has 160 divisors (see below), whose sum is σ = 60534896400. Its totient is φ = 6243194880.

The previous prime is 20150964199. The next prime is 20150964257. The reversal of 20150964216 is 61246905102.

20150964216 is a `hidden beast` number, since 2 + 0 + 1 + 5 + 0 + 9 + 642 + 1 + 6 = 666.

It is a super-2 number, since 2×201509642162 (a number of 21 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 637096 + ... + 667976.

Almost surely, 220150964216 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 20150964216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30267448200).

20150964216 is an abundant number, since it is smaller than the sum of its proper divisors (40383932184).

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

20150964216 is a wasteful number, since it uses less digits than its factorization.

20150964216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30971 (or 30958 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 20150964216 in words is "twenty billion, one hundred fifty million, nine hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 53 54 57 72 76 81 106 108 114 152 159 162 171 212 216 228 318 324 342 424 456 477 513 636 648 684 954 1007 1026 1272 1368 1431 1539 1908 2014 2052 2862 3021 3078 3816 4028 4104 4293 5724 6042 6156 8056 8586 9063 11448 12084 12312 17172 18126 24168 27189 30881 34344 36252 54378 61762 72504 81567 92643 108756 123524 163134 185286 217512 247048 277929 326268 370572 555858 586739 652536 741144 833787 1111716 1173478 1636693 1667574 1760217 2223432 2346956 2501361 3273386 3335148 3520434 4693912 4910079 5002722 5280651 6546772 6670296 7040868 9820158 10005444 10561302 13093544 14081736 14730237 15841953 19640316 20010888 21122604 29460474 31097167 31683906 39280632 42245208 44190711 47525859 58920948 62194334 63367812 88381422 93291501 95051718 117841896 124388668 126735624 132572133 176762844 186583002 190103436 248777336 265144266 279874503 353525688 373166004 380206872 530288532 559749006 746332008 839623509 1060577064 1119498012 1679247018 2238996024 2518870527 3358494036 5037741054 6716988072 10075482108 20150964216