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5015175168 = 2153173001
BaseRepresentation
bin1001010101110110…
…11000000000000000
3110221111221021222110
410222323120000000
540232341101133
62145352335320
7235165166643
oct45273300000
913844837873
105015175168
112143a32373
12b7b6a4540
1361c042b93
143580d1a5a
151e5452c63
hex12aed8000

5015175168 has 128 divisors (see below), whose sum is σ = 14164997040. Its totient is φ = 1572864000.

The previous prime is 5015175167. The next prime is 5015175173. The reversal of 5015175168 is 8615715105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015175167) 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 7 ways as a sum of consecutive naturals, for example, 1669668 + ... + 1672668.

Almost surely, 25015175168 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 5015175168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082498520).

5015175168 is an abundant number, since it is smaller than the sum of its proper divisors (9149821872).

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

5015175168 is an equidigital number, since it uses as much as digits as its factorization.

5015175168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 39.

The square root of 5015175168 is about 70817.9014656605. The cubic root of 5015175168 is about 1711.7041442926.

The spelling of 5015175168 in words is "five billion, fifteen million, one hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3001 3072 3264 4096 4352 6002 6144 6528 8192 8704 9003 12004 12288 13056 16384 17408 18006 24008 24576 26112 32768 34816 36012 48016 49152 51017 52224 69632 72024 96032 98304 102034 104448 139264 144048 153051 192064 204068 208896 278528 288096 306102 384128 408136 417792 557056 576192 612204 768256 816272 835584 1152384 1224408 1536512 1632544 1671168 2304768 2448816 3073024 3265088 4609536 4897632 6146048 6530176 9219072 9795264 12292096 13060352 18438144 19590528 24584192 26120704 36876288 39181056 49168384 52241408 73752576 78362112 98336768 104482816 147505152 156724224 208965632 295010304 313448448 417931264 626896896 835862528 1253793792 1671725056 2507587584 5015175168