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5115093648 = 243723739067
BaseRepresentation
bin1001100001110001…
…00010001010010000
3111012110221200100220
410300320202022100
540433430444043
62203322113040
7240520402320
oct46070421220
914173850326
105115093648
112195378625
12ba904b780
13636958542
143674a1280
151ee0dd483
hex130e22290

5115093648 has 160 divisors (see below), whose sum is σ = 15975929856. Its totient is φ = 1378612224.

The previous prime is 5115093629. The next prime is 5115093667. The reversal of 5115093648 is 8463905115.

It is an interprime number because it is at equal distance from previous prime (5115093629) and next prime (5115093667).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 559611 + ... + 568677.

Almost surely, 25115093648 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 5115093648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987964928).

5115093648 is an abundant number, since it is smaller than the sum of its proper divisors (10860836208).

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

5115093648 is a wasteful number, since it uses less digits than its factorization.

5115093648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9181 (or 9175 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5115093648 is about 71519.8828858102. The cubic root of 5115093648 is about 1722.9970336301.

The spelling of 5115093648 in words is "five billion, one hundred fifteen million, ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 73 84 92 112 138 146 161 168 184 219 276 292 322 336 368 438 483 511 552 584 644 876 966 1022 1104 1168 1288 1533 1679 1752 1932 2044 2576 3066 3358 3504 3864 4088 5037 6132 6716 7728 8176 9067 10074 11753 12264 13432 18134 20148 23506 24528 26864 27201 35259 36268 40296 47012 54402 63469 70518 72536 80592 94024 108804 126938 141036 145072 188048 190407 208541 217608 253876 282072 380814 417082 435216 507752 564144 625623 661891 761628 834164 1015504 1251246 1323782 1459787 1523256 1668328 1985673 2502492 2647564 2919574 3046512 3336656 3971346 4379361 4633237 5004984 5295128 5839148 7942692 8758722 9266474 10009968 10590256 11678296 13899711 15223493 15885384 17517444 18532948 23356592 27799422 30446986 31770768 35034888 37065896 45670479 55598844 60893972 70069776 74131792 91340958 106564451 111197688 121787944 182681916 213128902 222395376 243575888 319693353 365363832 426257804 639386706 730727664 852515608 1278773412 1705031216 2557546824 5115093648