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5348671152 = 2431119563947
BaseRepresentation
bin1001111101100111…
…00011111010110000
3111210202110122110120
410332303203322300
541423224434102
62242424330240
7246354645306
oct47663437260
914722418416
105348671152
1122a5204890
121053313980
1367316ac96
1438a504276
1521487b6bc
hex13ece3eb0

5348671152 has 160 divisors (see below), whose sum is σ = 15911838720. Its totient is φ = 1531157760.

The previous prime is 5348671151. The next prime is 5348671169. The reversal of 5348671152 is 2511768435.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5348671151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5647543 + ... + 5648489.

It is an arithmetic number, because the mean of its divisors is an integer number (99448992).

Almost surely, 25348671152 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 5348671152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7955919360).

5348671152 is an abundant number, since it is smaller than the sum of its proper divisors (10563167568).

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

5348671152 is a wasteful number, since it uses less digits than its factorization.

5348671152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1545 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The square root of 5348671152 is about 73134.6098095833. The cubic root of 5348671152 is about 1748.8341788413.

The spelling of 5348671152 in words is "five billion, three hundred forty-eight million, six hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 418 456 528 563 627 836 912 947 1126 1254 1672 1689 1894 2252 2508 2841 3344 3378 3788 4504 5016 5682 6193 6756 7576 9008 10032 10417 10697 11364 12386 13512 15152 17993 18579 20834 21394 22728 24772 27024 31251 32091 35986 37158 41668 42788 45456 49544 53979 62502 64182 71972 74316 83336 85576 99088 107958 117667 125004 128364 143944 148632 166672 171152 197923 215916 235334 250008 256728 287888 297264 353001 395846 431832 470668 500016 513456 533161 593769 706002 791692 863664 941336 1066322 1187538 1412004 1583384 1599483 1882672 2132644 2375076 2824008 3166768 3198966 4265288 4750152 5648016 5864771 6397932 8530576 9500304 10130059 11729542 12795864 17594313 20260118 23459084 25591728 30390177 35188626 40520236 46918168 60780354 70377252 81040472 93836336 111430649 121560708 140754504 162080944 222861298 243121416 281509008 334291947 445722596 486242832 668583894 891445192 1337167788 1782890384 2674335576 5348671152