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2131847136 = 253271137761
BaseRepresentation
bin111111100010001…
…0110011111100000
312111120110001111100
41333010112133200
513331223102021
6551312514400
7103554254526
oct17704263740
95446401440
102131847136
119a4410341
124b5b4ba00
1327c88b813
141631ba316
15c7258626
hex7f1167e0

2131847136 has 144 divisors (see below), whose sum is σ = 6200839008. Its totient is φ = 694579200.

The previous prime is 2131847129. The next prime is 2131847147. The reversal of 2131847136 is 6317481312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×21318471362 = 9089544422542804992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2131847136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2800996 + ... + 2801756.

It is an arithmetic number, because the mean of its divisors is an integer number (43061382).

Almost surely, 22131847136 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 2131847136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100419504).

2131847136 is an abundant number, since it is smaller than the sum of its proper divisors (4068991872).

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

2131847136 is a wasteful number, since it uses less digits than its factorization.

2131847136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 974 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2131847136 is about 46171.9301740787. The cubic root of 2131847136 is about 1287.0201709138.

The spelling of 2131847136 in words is "two billion, one hundred thirty-one million, eight hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 137 142 144 213 274 284 288 411 426 548 568 639 761 822 852 1096 1136 1233 1278 1522 1644 1704 2192 2272 2283 2466 2556 3044 3288 3408 4384 4566 4932 5112 6088 6576 6816 6849 9132 9727 9864 10224 12176 13152 13698 18264 19454 19728 20448 24352 27396 29181 36528 38908 39456 54031 54792 58362 73056 77816 87543 104257 108062 109584 116724 155632 162093 175086 208514 216124 219168 233448 311264 312771 324186 350172 417028 432248 466896 486279 625542 648372 700344 834056 864496 933792 938313 972558 1251084 1296744 1400688 1668112 1728992 1876626 1945116 2502168 2593488 2801376 3336224 3753252 3890232 5004336 5186976 7402247 7506504 7780464 10008672 14804494 15013008 15560928 22206741 29608988 30026016 44413482 59217976 66620223 88826964 118435952 133240446 177653928 236871904 266480892 355307856 532961784 710615712 1065923568 2131847136