Search a number
-
+
2341542391648 = 251737137849143
BaseRepresentation
bin100010000100101110110…
…011010110111101100000
322021211221010010000210021
4202010232303112331200
5301330434323013043
64551404551443224
7331112413635025
oct42045663267540
98254833100707
102341542391648
118230516aa869
12319981986514
1313ca63b5aac5
148148cd7954c
1540d977933ed
hex2212ecd6f60

2341542391648 has 96 divisors (see below), whose sum is σ = 5049601228224. Its totient is φ = 1064294203392.

The previous prime is 2341542391633. The next prime is 2341542391673. The reversal of 2341542391648 is 8461932451432.

It is a junction number, because it is equal to n+sod(n) for n = 2341542391595 and 2341542391604.

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, 2332965 + ... + 3182107.

It is an arithmetic number, because the mean of its divisors is an integer number (52600012794).

Almost surely, 22341542391648 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 2341542391648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524800614112).

2341542391648 is an abundant number, since it is smaller than the sum of its proper divisors (2708058836576).

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

2341542391648 is a wasteful number, since it uses less digits than its factorization.

2341542391648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849344 (or 849336 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 52.

The spelling of 2341542391648 in words is "two trillion, three hundred forty-one billion, five hundred forty-two million, three hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 137 148 272 274 296 544 548 592 629 1096 1184 1258 2192 2329 2516 4384 4658 5032 5069 9316 10064 10138 18632 20128 20276 37264 40552 74528 81104 86173 162208 172346 344692 689384 849143 1378768 1698286 2757536 3396572 6793144 13586288 14435431 27172576 28870862 31418291 57741724 62836582 115483448 116332591 125673164 230966896 232665182 251346328 461933792 465330364 502692656 534110947 930660728 1005385312 1068221894 1861321456 1977654047 2136443788 3722642912 3955308094 4272887576 4304305867 7910616188 8545775152 8608611734 15821232376 17091550304 17217223468 31642464752 34434446936 63284929504 68868893872 73173199739 137737787744 146346399478 292692798956 585385597912 1170771195824 2341542391648