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10145955555 = 32517373471033
BaseRepresentation
bin10010111001011111…
…01111111011100011
3222012002101221111200
421130233233323203
5131234331034210
64354435012243
7506266125231
oct113457577343
928162357450
1010145955555
11433714463a
121b71a3a083
13c590014c8
146c36b7951
153e5ade0c0
hex25cbefee3

10145955555 has 96 divisors (see below), whose sum is σ = 19197756864. Its totient is φ = 4936163328.

The previous prime is 10145955437. The next prime is 10145955557. The reversal of 10145955555 is 55555954101.

10145955555 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 95 + 5 + 555 = 666.

It is not a de Polignac number, because 10145955555 - 217 = 10145824483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 10145955555.

It is not an unprimeable number, because it can be changed into a prime (10145955557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9821319 + ... + 9822351.

It is an arithmetic number, because the mean of its divisors is an integer number (199976634).

Almost surely, 210145955555 is an apocalyptic number.

10145955555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10145955555 is a deficient number, since it is larger than the sum of its proper divisors (9051801309).

10145955555 is a wasteful number, since it uses less digits than its factorization.

10145955555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 10145955555 in words is "ten billion, one hundred forty-five million, nine hundred fifty-five thousand, five hundred fifty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 347 555 629 765 1033 1041 1665 1735 1887 3099 3123 3145 5165 5205 5661 5899 9297 9435 12839 15495 15615 17561 17697 28305 29495 38221 38517 46485 52683 53091 64195 87805 88485 114663 115551 158049 191105 192585 218263 263415 265455 343989 358451 573315 577755 649757 654789 790245 1075353 1091315 1719945 1792255 1949271 1964367 3226059 3248785 3273945 5376765 5847813 6093667 9746355 9821835 13262687 16130295 18281001 29239065 30468335 39788061 54843003 66313435 91405005 119364183 198940305 225465679 274215015 596820915 676397037 1127328395 2029191111 3381985185 10145955555