Search a number
-
+
45385987101 = 37132315147869
BaseRepresentation
bin101010010001001101…
…110011010000011101
311100011000202000211020
4222101031303100131
51220422303041401
632503335114353
73164464345050
oct522115632035
9140130660736
1045385987101
111828022a954
1289678129b9
134383b87490
1422a7a26a97
1512a9784d36
hexa9137341d

45385987101 has 64 divisors (see below), whose sum is σ = 78234132480. Its totient is φ = 22746873600.

The previous prime is 45385987081. The next prime is 45385987103. The reversal of 45385987101 is 10178958354.

It is not a de Polignac number, because 45385987101 - 27 = 45385986973 is a prime.

It is a super-4 number, since 4×453859871014 (a number of 44 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45385987103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924195 + ... + 972063.

It is an arithmetic number, because the mean of its divisors is an integer number (1222408320).

Almost surely, 245385987101 is an apocalyptic number.

It is an amenable number.

45385987101 is a deficient number, since it is larger than the sum of its proper divisors (32848145379).

45385987101 is a wasteful number, since it uses less digits than its factorization.

45385987101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48066.

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 45385987101 in words is "forty-five billion, three hundred eighty-five million, nine hundred eighty-seven thousand, one hundred one".

Divisors: 1 3 7 13 21 23 39 69 91 151 161 273 299 453 483 897 1057 1963 2093 3171 3473 5889 6279 10419 13741 24311 41223 45149 47869 72933 135447 143607 316043 335083 622297 948129 1005249 1100987 1866891 3302961 4356079 7228219 7706909 13068237 14312831 21684657 23120727 42938493 50597533 93966847 100189817 151792599 166249037 281900541 300569451 498747111 657767929 1163743259 1973303787 2161237481 3491229777 6483712443 15128662367 45385987101