Search a number
-
+
5863727136 = 2531372112113
BaseRepresentation
bin1010111011000000…
…10110000000100000
3120010122122012110010
411131200112000200
544002103232021
62405504004520
7265210600251
oct53540260040
916118565403
105863727136
112539a14a93
121177900740
13725a95037
143d8a98b28
15244bba976
hex15d816020

5863727136 has 96 divisors (see below), whose sum is σ = 15585490368. Its totient is φ = 1930199040.

The previous prime is 5863727087. The next prime is 5863727137. The reversal of 5863727136 is 6317273685.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5863727137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2774016 + ... + 2776128.

It is an arithmetic number, because the mean of its divisors is an integer number (162348858).

Almost surely, 25863727136 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 5863727136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7792745184).

5863727136 is an abundant number, since it is smaller than the sum of its proper divisors (9721763232).

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

5863727136 is a wasteful number, since it uses less digits than its factorization.

5863727136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2466 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 5863727136 is about 76574.9772184099. The cubic root of 5863727136 is about 1803.2582073528.

The spelling of 5863727136 in words is "five billion, eight hundred sixty-three million, seven hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 211 274 411 422 548 633 822 844 1096 1266 1644 1688 2113 2192 2532 3288 3376 4226 4384 5064 6339 6576 6752 8452 10128 12678 13152 16904 20256 25356 28907 33808 50712 57814 67616 86721 101424 115628 173442 202848 231256 289481 346884 445843 462512 578962 693768 868443 891686 925024 1157924 1337529 1387536 1736886 1783372 2315848 2675058 2775072 3473772 3566744 4631696 5350116 6947544 7133488 9263392 10700232 13895088 14266976 21400464 27790176 42800928 61080491 122160982 183241473 244321964 366482946 488643928 732965892 977287856 1465931784 1954575712 2931863568 5863727136