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2010150351468 = 2232752315251983
BaseRepresentation
bin11101010000000110010…
…011000011001001101100
321010011112211112010112100
4131100012103003021230
5230413241442221333
64135241134135100
7265141254032340
oct35200623031154
97104484463470
102010150351468
11705555518106
122856b7351490
131177304446bc
146d41298d620
153744e189213
hex1d4064c326c

2010150351468 has 72 divisors (see below), whose sum is σ = 5818204840448. Its totient is φ = 573230491488.

The previous prime is 2010150351467. The next prime is 2010150351529. The reversal of 2010150351468 is 8641530510102.

2010150351468 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 503 + 5 + 146 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2010150351467) 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, 7494196 + ... + 7757787.

Almost surely, 22010150351468 is an apocalyptic number.

2010150351468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2010150351468 is an abundant number, since it is smaller than the sum of its proper divisors (3808054488980).

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

2010150351468 is a wasteful number, since it uses less digits than its factorization.

2010150351468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15252523 (or 15252518 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2010150351468 in words is "two trillion, ten billion, one hundred fifty million, three hundred fifty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 523 1046 1569 2092 3138 3661 4707 6276 7322 9414 10983 14644 18828 21966 32949 43932 65898 131796 15251983 30503966 45755949 61007932 91511898 106763881 137267847 183023796 213527762 274535694 320291643 427055524 549071388 640583286 960874929 1281166572 1921749858 3843499716 7976787109 15953574218 23930361327 31907148436 47860722654 55837509763 71791083981 95721445308 111675019526 143582167962 167512529289 223350039052 287164335924 335025058578 502537587867 670050117156 1005075175734 2010150351468