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2605357144 = 231397271953
BaseRepresentation
bin1001101101001010…
…1001100001011000
320201120102212010001
42123102221201120
520313432412034
61110305502344
7121364112265
oct23322514130
96646385101
102605357144
111117724425
126086419b4
133269ca460
141aa03826c
15103adca14
hex9b4a9858

2605357144 has 64 divisors (see below), whose sum is σ = 5340263040. Its totient is φ = 1184440320.

The previous prime is 2605357133. The next prime is 2605357189. The reversal of 2605357144 is 4417535062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733372 + ... + 2734324.

It is an arithmetic number, because the mean of its divisors is an integer number (83441610).

Almost surely, 22605357144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605357144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670131520).

2605357144 is an abundant number, since it is smaller than the sum of its proper divisors (2734905896).

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

2605357144 is a wasteful number, since it uses less digits than its factorization.

2605357144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 2605357144 is about 51042.6992232974. The cubic root of 2605357144 is about 1376.0126348105.

The spelling of 2605357144 in words is "two billion, six hundred five million, three hundred fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 271 388 542 776 953 1084 1261 1906 2168 2522 3523 3812 5044 7046 7624 10088 12389 14092 24778 26287 28184 49556 52574 92441 99112 105148 184882 210296 258263 341731 369764 516526 683462 739528 1033052 1201733 1366924 2066104 2403466 2733848 3357419 4806932 6714838 9613864 13429676 25051511 26859352 50103022 100206044 200412088 325669643 651339286 1302678572 2605357144