Search a number
-
+
1005515502145 = 57114167639419
BaseRepresentation
bin11101010000111010110…
…01001111001001000001
310120010102002210222001021
432220131121033021001
5112433243432032040
62045532154505441
7132434416514140
oct16503531171101
93503362728037
101005515502145
11358489318330
12142a61135281
1373a86b7958b
143694ab77757
151b250a9924a
hexea1d64f241

1005515502145 has 64 divisors (see below), whose sum is σ = 1541438760960. Its totient is φ = 611371353600.

The previous prime is 1005515502139. The next prime is 1005515502157. The reversal of 1005515502145 is 5412055155001.

It is not a de Polignac number, because 1005515502145 - 217 = 1005515371073 is a prime.

It is a super-2 number, since 2×10055155021452 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005515502145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106749246 + ... + 106758664.

It is an arithmetic number, because the mean of its divisors is an integer number (24084980640).

Almost surely, 21005515502145 is an apocalyptic number.

It is an amenable number.

1005515502145 is a deficient number, since it is larger than the sum of its proper divisors (535923258815).

1005515502145 is a wasteful number, since it uses less digits than its factorization.

1005515502145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16246.

The product of its (nonzero) digits is 25000, while the sum is 34.

The spelling of 1005515502145 in words is "one trillion, five billion, five hundred fifteen million, five hundred two thousand, one hundred forty-five".

Divisors: 1 5 7 11 35 41 55 77 205 287 385 451 1435 2255 3157 6763 9419 15785 33815 47095 47341 65933 74393 103609 236705 277283 329665 371965 386179 518045 520751 725263 1386415 1930895 1940981 2603755 2703253 3050113 3626315 4247969 9704905 13516265 15250565 21239845 21350791 29735783 63700697 106753955 148678915 318503485 445904879 700707667 2229524395 2611728577 3503538335 4904953669 13058642885 18282100039 24524768345 28729014347 91410500195 143645071735 201103100429 1005515502145