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2420550550242 = 23211210723103643
BaseRepresentation
bin100011001110010100000…
…011100100001011100010
322120101212022220100011100
4203032110003210023202
5304124241420101432
65051552514455230
7336610333125516
oct43162403441342
98511768810140
102420550550242
11853605755800
12331151594516
131473456510c6
14852260cc146
1542e6db4307c
hex233940e42e2

2420550550242 has 72 divisors (see below), whose sum is σ = 5765237713872. Its totient is φ = 733424685840.

The previous prime is 2420550550219. The next prime is 2420550550273.

2420550550242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2420550550197 and 2420550550206.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 23302873 + ... + 23406515.

It is an arithmetic number, because the mean of its divisors is an integer number (80072746026).

Almost surely, 22420550550242 is an apocalyptic number.

2420550550242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2420550550242 is an abundant number, since it is smaller than the sum of its proper divisors (3344687163630).

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

2420550550242 is a wasteful number, since it uses less digits than its factorization.

2420550550242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114396 (or 114382 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 2420550 and 550242, that added together give a palindrome (2970792).

The spelling of 2420550550242 in words is "two trillion, four hundred twenty billion, five hundred fifty million, five hundred fifty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 10723 21446 32169 64338 96507 103643 117953 193014 207286 235906 310929 353859 621858 707718 932787 1061577 1140073 1297483 1865574 2123154 2280146 2594966 3420219 3892449 6840438 7784898 10260657 11677347 12540803 20521314 23354694 25081606 37622409 75244818 112867227 225734454 1111363889 2222727778 3334091667 6668183334 10002275001 12225002779 20004550002 24450005558 36675008337 73350016674 110025025011 134475030569 220050050022 268950061138 403425091707 806850183414 1210275275121 2420550550242