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5138068128 = 253675711399
BaseRepresentation
bin1001100100100000…
…01011001010100000
3111021002011220102120
410302100023022200
541010321140003
62205502344240
7241216600314
oct46220131240
914232156376
105138068128
1121a733a6a6
12bb488b080
1363b6407cb
1436a561b44
1520112a853
hex13240b2a0

5138068128 has 96 divisors (see below), whose sum is σ = 13722508800. Its totient is φ = 1682968320.

The previous prime is 5138068109. The next prime is 5138068181. The reversal of 5138068128 is 8218608315.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5138068128.

It is an unprimeable number.

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, 3671973 + ... + 3673371.

It is an arithmetic number, because the mean of its divisors is an integer number (142942800).

Almost surely, 25138068128 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 5138068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861254400).

5138068128 is an abundant number, since it is smaller than the sum of its proper divisors (8584440672).

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

5138068128 is a wasteful number, since it uses less digits than its factorization.

5138068128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2050 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 5138068128 is about 71680.3189725046. The cubic root of 5138068128 is about 1725.5727989808.

The spelling of 5138068128 in words is "five billion, one hundred thirty-eight million, sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 571 804 1072 1142 1399 1608 1713 2144 2284 2798 3216 3426 4197 4568 5596 6432 6852 8394 9136 11192 13704 16788 18272 22384 27408 33576 38257 44768 54816 67152 76514 93733 114771 134304 153028 187466 229542 281199 306056 374932 459084 562398 612112 749864 798829 918168 1124796 1224224 1499728 1597658 1836336 2249592 2396487 2999456 3195316 3672672 4499184 4792974 6390632 8998368 9585948 12781264 19171896 25562528 38343792 53521543 76687584 107043086 160564629 214086172 321129258 428172344 642258516 856344688 1284517032 1712689376 2569034064 5138068128