Search a number
-
+
2495705191392 = 253721613328921
BaseRepresentation
bin100100010100010011100…
…111110001001111100000
322211120211222121200101010
4210110103213301033200
5311342201012111032
65150302223340520
7345210621052500
oct44242347611740
98746758550333
102495705191392
11882471576a86
12343826751740
1315146198c87a
1488b1553ba00
1544dbba54ccc
hex245139f13e0

2495705191392 has 144 divisors (see below), whose sum is σ = 7625561871312. Its totient is φ = 712614389760.

The previous prime is 2495705191279. The next prime is 2495705191411. The reversal of 2495705191392 is 2931915075942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7423092 + ... + 7752012.

It is an arithmetic number, because the mean of its divisors is an integer number (52955290773).

Almost surely, 22495705191392 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 2495705191392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3812780935656).

2495705191392 is an abundant number, since it is smaller than the sum of its proper divisors (5129856679920).

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

2495705191392 is a wasteful number, since it uses less digits than its factorization.

2495705191392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330561 (or 330546 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 57.

The spelling of 2495705191392 in words is "two trillion, four hundred ninety-five billion, seven hundred five million, one hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 1613 2352 3226 4704 4839 6452 9678 11291 12904 19356 22582 25808 33873 38712 45164 51616 67746 77424 79037 90328 135492 154848 158074 180656 237111 270984 316148 328921 361312 474222 541968 632296 657842 948444 986763 1083936 1264592 1315684 1896888 1973526 2302447 2529184 2631368 3793776 3947052 4604894 5262736 6907341 7587552 7894104 9209788 10525472 13814682 15788208 16117129 18419576 27629364 31576416 32234258 36839152 48351387 55258728 64468516 73678304 96702774 110517456 128937032 193405548 221034912 257874064 386811096 515748128 530549573 773622192 1061099146 1547244384 1591648719 2122198292 3183297438 3713847011 4244396584 6366594876 7427694022 8488793168 11141541033 12733189752 14855388044 16977586336 22283082066 25466379504 25996929077 29710776088 44566164132 50932759008 51993858154 59421552176 77990787231 89132328264 103987716308 118843104352 155981574462 178264656528 207975432616 311963148924 356529313056 415950865232 623926297848 831901730464 1247852595696 2495705191392