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2007191211144 = 233737322907209
BaseRepresentation
bin11101001101010101111…
…010110100110010001000
321002212220121101020010120
4131031111322310302020
5230341211422224034
64134031345343240
7265005032535150
oct35152572646210
97085817336116
102007191211144
11704277125199
12285010337b20
1311737b3680b2
146d211981760
15373294b6c49
hex1d355eb4c88

2007191211144 has 64 divisors (see below), whose sum is σ = 5889827510400. Its totient is φ = 557983655424.

The previous prime is 2007191211143. The next prime is 2007191211169. The reversal of 2007191211144 is 4411121917002.

It is not an unprimeable number, because it can be changed into a prime (2007191211143) 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, 161447389 + ... + 161459820.

It is an arithmetic number, because the mean of its divisors is an integer number (92028554850).

Almost surely, 22007191211144 is an apocalyptic number.

2007191211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2007191211144 is an abundant number, since it is smaller than the sum of its proper divisors (3882636299256).

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

2007191211144 is a wasteful number, since it uses less digits than its factorization.

2007191211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322907262 (or 322907258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The spelling of 2007191211144 in words is "two trillion, seven billion, one hundred ninety-one million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 322907209 645814418 968721627 1291628836 1937443254 2260350463 2583257672 3874886508 4520700926 6781051389 7749773016 9041401852 11947566733 13562102778 18082803704 23895133466 27124205556 35842700199 47790266932 54248411112 71685400398 83632967131 95580533864 143370800796 167265934262 250898901393 286741601592 334531868524 501797802786 669063737048 1003595605572 2007191211144