Search a number
-
+
5344170972 = 2237312239277
BaseRepresentation
bin1001111101000100…
…11001001111011100
3111210110000000101020
410332202121033130
541421101432342
62242144044140
7246301463250
oct47642311734
914713000336
105344170972
1122a2710828
121051903650
1367225385a
14389a92260
1521428d0ec
hex13e8993dc

5344170972 has 144 divisors (see below), whose sum is σ = 14840663040. Its totient is φ = 1466156160.

The previous prime is 5344170917. The next prime is 5344170989. The reversal of 5344170972 is 2790714435.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19292898 + ... + 19293174.

It is an arithmetic number, because the mean of its divisors is an integer number (103060160).

Almost surely, 25344170972 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 5344170972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420331520).

5344170972 is an abundant number, since it is smaller than the sum of its proper divisors (9496492068).

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

5344170972 is a wasteful number, since it uses less digits than its factorization.

5344170972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 5344170972 is about 73103.8369170866. The cubic root of 5344170972 is about 1748.3435724458.

The spelling of 5344170972 in words is "five billion, three hundred forty-four million, one hundred seventy thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 239 277 372 434 478 554 651 717 831 868 956 961 1108 1302 1434 1662 1673 1922 1939 2604 2868 2883 3324 3346 3844 3878 5019 5766 5817 6692 6727 7409 7756 8587 10038 11532 11634 13454 14818 17174 20076 20181 22227 23268 25761 26908 29636 34348 40362 44454 51522 51863 60109 66203 80724 88908 103044 103726 120218 132406 155589 180327 198609 207452 229679 240436 264812 266197 311178 360654 397218 459358 463421 532394 622356 689037 721308 794436 798591 918716 926842 1064788 1378074 1390263 1597182 1607753 1853684 1863379 2052293 2756148 2780526 3194364 3215506 3726758 4104586 4823259 5561052 5590137 6156879 6431012 7453516 8209172 9646518 11180274 12313758 14366051 19293036 22360548 24627516 28732102 43098153 57464204 63621083 86196306 127242166 172392612 190863249 254484332 381726498 445347581 763452996 890695162 1336042743 1781390324 2672085486 5344170972