Search a number
-
+
506153476140 = 2235134671389539
BaseRepresentation
bin1110101110110010001…
…10010010000000101100
31210101110201001200121020
413113121012102000230
531243100242214030
61024305041334140
751365645363124
oct7273106220054
91711421050536
10506153476140
11185727495174
1282119937350
1338964c61a10
141a6d8583c84
15d275e85510
hex75d919202c

506153476140 has 96 divisors (see below), whose sum is σ = 1529516701440. Its totient is φ = 124324743936.

The previous prime is 506153476117. The next prime is 506153476187. The reversal of 506153476140 is 41674351605.

It is a junction number, because it is equal to n+sod(n) for n = 506153476092 and 506153476101.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 330510 + ... + 1059029.

It is an arithmetic number, because the mean of its divisors is an integer number (15932465640).

Almost surely, 2506153476140 is an apocalyptic number.

It is an amenable number.

506153476140 is an abundant number, since it is smaller than the sum of its proper divisors (1023363225300).

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

506153476140 is a wasteful number, since it uses less digits than its factorization.

506153476140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390031 (or 1390029 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 506153476140 in words is "five hundred six billion, one hundred fifty-three million, four hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 467 780 934 1401 1868 2335 2802 4670 5604 6071 7005 9340 12142 14010 18213 24284 28020 30355 36426 60710 72852 91065 121420 182130 364260 1389539 2779078 4168617 5558156 6947695 8337234 13895390 16674468 18064007 20843085 27790780 36128014 41686170 54192021 72256028 83372340 90320035 108384042 180640070 216768084 270960105 361280140 541920210 648914713 1083840420 1297829426 1946744139 2595658852 3244573565 3893488278 6489147130 7786976556 8435891269 9733720695 12978294260 16871782538 19467441390 25307673807 33743565076 38934882780 42179456345 50615347614 84358912690 101230695228 126538369035 168717825380 253076738070 506153476140