Search a number
-
+
2007120311392 = 25724329768633
BaseRepresentation
bin11101001101010001101…
…100010111010001100000
321002212201122222010221211
4131031101230113101200
5230341040244431032
64134020333555504
7265003212103300
oct35152154272140
97085648863854
102007120311392
117042400aa159
12284bb0645b94
13117369772b91
146d2063a7600
153732315e747
hex1d351b17460

2007120311392 has 72 divisors (see below), whose sum is σ = 4703563246536. Its totient is φ = 840189869568.

The previous prime is 2007120311359. The next prime is 2007120311437. The reversal of 2007120311392 is 2931130217002.

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 11 ways as a sum of consecutive naturals, for example, 14816893 + ... + 14951740.

It is an arithmetic number, because the mean of its divisors is an integer number (65327267313).

Almost surely, 22007120311392 is an apocalyptic number.

It is an amenable number.

2007120311392 is an abundant number, since it is smaller than the sum of its proper divisors (2696442935144).

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

2007120311392 is a wasteful number, since it uses less digits than its factorization.

2007120311392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29768700 (or 29768685 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 2007120311392 its reverse (2931130217002), we get a palindrome (4938250528394).

The spelling of 2007120311392 in words is "two trillion, seven billion, one hundred twenty million, three hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 392 602 688 784 1204 1376 1568 2107 2408 4214 4816 8428 9632 16856 33712 67424 29768633 59537266 119074532 208380431 238149064 416760862 476298128 833521724 952596256 1280051219 1458663017 1667043448 2560102438 2917326034 3334086896 5120204876 5834652068 6668173792 8960358533 10240409752 11669304136 17920717066 20480819504 23338608272 35841434132 40961639008 46677216544 62722509731 71682868264 125445019462 143365736528 250890038924 286731473056 501780077848 1003560155696 2007120311392