Search a number
-
+
2191723870434 = 2373137121337507
BaseRepresentation
bin11111111001001100111…
…011000011100011100010
321202112020000010121000020
4133321030323003203202
5241402122302323214
64354510344534310
7314226650341320
oct37711473034342
97675200117006
102191723870434
11775560a9438a
122b492ba81396
1312b8a907c657
1478119748d10
153c029ab04a9
hex1fe4cec38e2

2191723870434 has 128 divisors (see below), whose sum is σ = 5315540140032. Its totient is φ = 589126245120.

The previous prime is 2191723870433. The next prime is 2191723870463. The reversal of 2191723870434 is 4340783271912.

It is not an unprimeable number, because it can be changed into a prime (2191723870433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58416309 + ... + 58453815.

It is an arithmetic number, because the mean of its divisors is an integer number (41527657344).

Almost surely, 22191723870434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2191723870434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657770070016).

2191723870434 is an abundant number, since it is smaller than the sum of its proper divisors (3123816269598).

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

2191723870434 is a wasteful number, since it uses less digits than its factorization.

2191723870434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38800.

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 2191723870434 in words is "two trillion, one hundred ninety-one billion, seven hundred twenty-three million, eight hundred seventy thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 31 37 42 62 74 93 111 186 217 222 259 434 518 651 777 1147 1213 1302 1554 2294 2426 3441 3639 6882 7278 8029 8491 16058 16982 24087 25473 37507 37603 44881 48174 50946 75014 75206 89762 112521 112809 134643 225042 225618 262549 263221 269286 314167 525098 526442 628334 787647 789663 942501 1162717 1387759 1391311 1575294 1579326 1885002 2325434 2775518 2782622 3488151 4163277 4173933 6976302 8139019 8326554 8347866 9714313 9739177 16278038 19428626 19478354 24417057 29142939 29217531 43020529 45495991 48834114 58285878 58435062 86041058 90991982 129061587 136487973 258123174 272975946 301143703 318471937 602287406 636943874 903431109 955415811 1410375721 1683351667 1806862218 1910831622 2820751442 3366703334 4231127163 5050055001 8462254326 9872630047 10100110002 11783461669 19745260094 23566923338 29617890141 35350385007 52183901677 59235780282 70700770014 104367803354 156551705031 313103410062 365287311739 730574623478 1095861935217 2191723870434