Search a number
-
+
2002146628937 = 71323183965071
BaseRepresentation
bin11101001000101001001…
…111010001010101001001
321002101220001002220021112
4131020221033101111021
5230300344014111222
64131435022420105
7264436026356330
oct35105117212511
97071801086245
102002146628937
11702118637994
12284042a31635
13116a561ca100
146cc939d6d17
15371316a5be2
hex1d2293d1549

2002146628937 has 48 divisors (see below), whose sum is σ = 2560734167040. Its totient is φ = 1531164772800.

The previous prime is 2002146628919. The next prime is 2002146628949. The reversal of 2002146628937 is 7398266412002.

It is not a de Polignac number, because 2002146628937 - 226 = 2002079520073 is a prime.

It is a super-2 number, since 2×20021466289372 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2002146628967) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30736112 + ... + 30801182.

It is an arithmetic number, because the mean of its divisors is an integer number (53348628480).

Almost surely, 22002146628937 is an apocalyptic number.

It is an amenable number.

2002146628937 is a deficient number, since it is larger than the sum of its proper divisors (558587538103).

2002146628937 is a wasteful number, since it uses less digits than its factorization.

2002146628937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65974 (or 65961 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 50.

The spelling of 2002146628937 in words is "two trillion, two billion, one hundred forty-six million, six hundred twenty-eight thousand, nine hundred thirty-seven".

Divisors: 1 7 13 31 91 169 217 403 839 1183 2821 5239 5873 10907 26009 36673 65071 76349 141791 182063 338117 455497 845923 992537 2017201 2366819 4395521 5921461 10996999 14120407 26223613 30768647 54594569 76978993 183565291 340906969 382161983 709729397 1692431639 2386348783 4968105779 9226482161 11847021473 22001611307 64585375127 154011279149 286020946991 2002146628937