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5340000415152 = 24313107162749157
BaseRepresentation
bin100110110110101000011…
…0100111110110110110000
3200220111110210212210010210
41031231100310332312300
51144442310101241102
615205055021224120
71060542121414614
oct115552064766660
920814423783123
105340000415152
1117797550257a7
12722b17402040
132c973808c380
14146659163344
1593d8b94a36c
hex4db50d3edb0

5340000415152 has 160 divisors (see below), whose sum is σ = 15004519149312. Its totient is φ = 1626687654912.

The previous prime is 5340000415133. The next prime is 5340000415159. The reversal of 5340000415152 is 2515140000435.

It is not an unprimeable number, because it can be changed into a prime (5340000415159) 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 31 ways as a sum of consecutive naturals, for example, 108606958 + ... + 108656114.

Almost surely, 25340000415152 is an apocalyptic number.

5340000415152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5340000415152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502259574656).

5340000415152 is an abundant number, since it is smaller than the sum of its proper divisors (9664518734160).

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

5340000415152 is a wasteful number, since it uses less digits than its factorization.

5340000415152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50915 (or 50909 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 5340000415152 its reverse (2515140000435), we get a palindrome (7855140415587).

The spelling of 5340000415152 in words is "five trillion, three hundred forty billion, four hundred fifteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1627 1712 2568 2782 3254 4173 4881 5136 5564 6508 8346 9762 11128 13016 16692 19524 21151 22256 26032 33384 39048 42302 49157 63453 66768 78096 84604 98314 126906 147471 169208 174089 196628 253812 294942 338416 348178 393256 507624 522267 589884 639041 696356 786512 1015248 1044534 1179768 1278082 1392712 1917123 2089068 2263157 2359536 2556164 2785424 3834246 4178136 4526314 5112328 5259799 6789471 7668492 8356272 9052628 10224656 10519598 13578942 15336984 15779397 18105256 21039196 27157884 30673968 31558794 36210512 42078392 54315768 63117588 68377387 79978439 84156784 108631536 126235176 136754774 159956878 205132161 239935317 252470352 273509548 319913756 410264322 479870634 547019096 639827512 820528644 959741268 1039719707 1094038192 1279655024 1641057288 1919482536 2079439414 3119159121 3282114576 3838965072 4158878828 6238318242 8317757656 8557692973 12476636484 16635515312 17115385946 24953272968 25673078919 34230771892 49906545936 51346157838 68461543784 102692315676 111250008649 136923087568 205384631352 222500017298 333750025947 410769262704 445000034596 667500051894 890000069192 1335000103788 1780000138384 2670000207576 5340000415152