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2992027648506 = 2313712811922677
BaseRepresentation
bin101011100010100010101…
…111101100000111111010
3101121000221112212212011120
4223202202233230013322
5343010133034223011
610210304000210110
7426111143246601
oct53424257540772
911530845785146
102992027648506
11a53a03673036
12403a60009936
131891bac4a660
14a4b5a188a38
1552c698aaa06
hex2b8a2bec1fa

2992027648506 has 64 divisors (see below), whose sum is σ = 6558393090816. Its totient is φ = 904426790400.

The previous prime is 2992027648501. The next prime is 2992027648507. The reversal of 2992027648506 is 6058467202992.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2992027648506.

It is not an unprimeable number, because it can be changed into a prime (2992027648501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 594840 + ... + 2517516.

It is an arithmetic number, because the mean of its divisors is an integer number (102474892044).

Almost surely, 22992027648506 is an apocalyptic number.

2992027648506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992027648506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279196545408).

2992027648506 is an abundant number, since it is smaller than the sum of its proper divisors (3566365442310).

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

2992027648506 is a wasteful number, since it uses less digits than its factorization.

2992027648506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923047.

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 2992027648506 in words is "two trillion, nine hundred ninety-two billion, twenty-seven million, six hundred forty-eight thousand, five hundred six".

Divisors: 1 2 3 6 13 26 39 71 78 142 213 281 426 562 843 923 1686 1846 2769 3653 5538 7306 10959 19951 21918 39902 59853 119706 259363 518726 778089 1556178 1922677 3845354 5768031 11536062 24994801 49989602 74984403 136510067 149968806 273020134 409530201 540272237 819060402 1080544474 1620816711 1774630871 3241633422 3549261742 5323892613 7023539081 10647785226 14047078162 21070617243 38359328827 42141234486 76718657654 115077986481 230155972962 498671274751 997342549502 1496013824253 2992027648506