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2045401340532 = 22311293131707113
BaseRepresentation
bin11101110000111011011…
…010111001101001110100
321020112112112110220201220
4131300323122321221310
5232002440220344112
64203351105150340
7300526644350244
oct35607332715164
97215475426656
102045401340532
117194a4807a20
122904b492b3b0
1311ab5a666004
1470dd8551b24
1538313c9698c
hex1dc3b6b9a74

2045401340532 has 96 divisors (see below), whose sum is σ = 5403220663680. Its totient is φ = 596533217280.

The previous prime is 2045401340531. The next prime is 2045401340557. The reversal of 2045401340532 is 2350431045402.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2045401340493 and 2045401340502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045401340531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344608 + ... + 2051720.

It is an arithmetic number, because the mean of its divisors is an integer number (56283548580).

Almost surely, 22045401340532 is an apocalyptic number.

2045401340532 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045401340532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701610331840).

2045401340532 is an abundant number, since it is smaller than the sum of its proper divisors (3357819323148).

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

2045401340532 is a wasteful number, since it uses less digits than its factorization.

2045401340532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707473 (or 1707471 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 2045401340532 its reverse (2350431045402), we get a palindrome (4395832385934).

The spelling of 2045401340532 in words is "two trillion, forty-five billion, four hundred one million, three hundred forty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 313 319 348 626 638 939 957 1252 1276 1878 1914 3443 3756 3828 6886 9077 10329 13772 18154 20658 27231 36308 41316 54462 99847 108924 199694 299541 399388 599082 1198164 1707113 3414226 5121339 6828452 10242678 18778243 20485356 37556486 49506277 56334729 75112972 99012554 112669458 148518831 198025108 225338916 297037662 534326369 544569047 594075324 1068652738 1089138094 1602979107 1633707141 2137305476 2178276188 3205958214 3267414282 5877590059 6411916428 6534828564 11755180118 15495464701 17632770177 23510360236 30990929402 35265540354 46486394103 61981858804 70531080708 92972788206 170450111711 185945576412 340900223422 511350335133 681800446844 1022700670266 2045401340532