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2113511637640 = 235134064445457
BaseRepresentation
bin11110110000010111000…
…111000100001010001000
321111001100021000111120111
4132300113013010022020
5234111432434401030
64254533413204104
7305460534335104
oct36602707041210
97431307014514
102113511637640
11745376247267
122a1742930634
131243c3443970
147441a1c0904
1539e9d53062a
hex1ec171c4288

2113511637640 has 32 divisors (see below), whose sum is σ = 5121201277080. Its totient is φ = 780373527552.

The previous prime is 2113511637599. The next prime is 2113511637649. The reversal of 2113511637640 is 467361153112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1915516896484 + 197994741156 = 1384022^2 + 444966^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2113511637593 and 2113511637602.

It is not an unprimeable number, because it can be changed into a prime (2113511637649) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2032222209 + ... + 2032223248.

Almost surely, 22113511637640 is an apocalyptic number.

2113511637640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113511637640 is an abundant number, since it is smaller than the sum of its proper divisors (3007689639440).

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

2113511637640 is a wasteful number, since it uses less digits than its factorization.

2113511637640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064445481 (or 4064445477 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 2113511637640 in words is "two trillion, one hundred thirteen billion, five hundred eleven million, six hundred thirty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 4064445457 8128890914 16257781828 20322227285 32515563656 40644454570 52837790941 81288909140 105675581882 162577818280 211351163764 264188954705 422702327528 528377909410 1056755818820 2113511637640