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5367261144 = 2337376731283
BaseRepresentation
bin1001111111110100…
…11110011111011000
3111212001110010010210
410333322132133120
541443004324034
62244331011120
7250001652450
oct47772363730
914761403123
105367261144
112304751813
121059599aa0
13676c7968b
1438cb82d60
152162ee8e9
hex13fe9e7d8

5367261144 has 128 divisors (see below), whose sum is σ = 15785187840. Its totient is φ = 1488678912.

The previous prime is 5367261143. The next prime is 5367261149. The reversal of 5367261144 is 4411627635.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5367261143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4182727 + ... + 4184009.

It is an arithmetic number, because the mean of its divisors is an integer number (123321780).

Almost surely, 25367261144 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 5367261144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892593920).

5367261144 is an abundant number, since it is smaller than the sum of its proper divisors (10417926696).

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

5367261144 is a wasteful number, since it uses less digits than its factorization.

5367261144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 2005 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 5367261144 is about 73261.5939220544. The cubic root of 5367261144 is about 1750.8579351392.

Adding to 5367261144 its reverse (4411627635), we get a palindrome (9778888779).

The spelling of 5367261144 in words is "five billion, three hundred sixty-seven million, two hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 673 777 888 1036 1283 1346 1554 2019 2072 2566 2692 3108 3849 4038 4711 5132 5384 6216 7698 8076 8981 9422 10264 14133 15396 16152 17962 18844 24901 26943 28266 30792 35924 37688 47471 49802 53886 56532 71848 74703 94942 99604 107772 113064 142413 149406 174307 189884 199208 215544 284826 298812 332297 348614 379768 522921 569652 597624 664594 697228 863459 996891 1045842 1139304 1329188 1394456 1726918 1993782 2091684 2590377 2658376 3453836 3987564 4183368 5180754 6044213 6907672 7975128 10361508 12088426 18132639 20723016 24176852 31947983 36265278 48353704 63895966 72530556 95843949 127791932 145061112 191687898 223635881 255583864 383375796 447271762 670907643 766751592 894543524 1341815286 1789087048 2683630572 5367261144