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56141614170 = 23252983259159
BaseRepresentation
bin110100010010010011…
…010000110001011010
312100220121100111102100
4310102103100301122
51404434223123140
641442513344230
74025145563265
oct642223206132
9170817314370
1056141614170
112189a528744
12aa69868076
1353a928c755
142a08283cdc
1516d8b52530
hexd124d0c5a

56141614170 has 96 divisors (see below), whose sum is σ = 152821468800. Its totient is φ = 14280642432.

The previous prime is 56141614169. The next prime is 56141614187. The reversal of 56141614170 is 7141614165.

56141614170 is a `hidden beast` number, since 5 + 61 + 416 + 14 + 170 = 666.

It is a super-2 number, since 2×561416141702 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87051 + ... + 346209.

It is an arithmetic number, because the mean of its divisors is an integer number (1591890300).

Almost surely, 256141614170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56141614170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76410734400).

56141614170 is an abundant number, since it is smaller than the sum of its proper divisors (96679854630).

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

56141614170 is a wasteful number, since it uses less digits than its factorization.

56141614170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259284 (or 259281 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 56141614170 in words is "fifty-six billion, one hundred forty-one million, six hundred fourteen thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 83 87 90 145 166 174 249 261 290 415 435 498 522 747 830 870 1245 1305 1494 2407 2490 2610 3735 4814 7221 7470 12035 14442 21663 24070 36105 43326 72210 108315 216630 259159 518318 777477 1295795 1554954 2332431 2591590 3887385 4664862 7515611 7774770 11662155 15031222 21510197 22546833 23324310 37578055 43020394 45093666 64530591 67640499 75156110 107550985 112734165 129061182 135280998 193591773 215101970 225468330 322652955 338202495 387183546 623795713 645305910 676404990 967958865 1247591426 1871387139 1935917730 3118978565 3742774278 5614161417 6237957130 9356935695 11228322834 18713871390 28070807085 56141614170