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3086468903970 = 234512892956133
BaseRepresentation
bin101100111010011111111…
…000011111010000100010
3101221001201022202201110000
4230322133320133100202
5401032042014411340
610321523152120430
7435663401546034
oct54723770372042
911831638681400
103086468903970
11a8aa67261091
1241a218236116
1319508bc18a3a
14a9558c5dc54
1555445abed30
hex2ce9fe1f422

3086468903970 has 80 divisors (see below), whose sum is σ = 8305613209080. Its totient is φ = 822419571456.

The previous prime is 3086468903951. The next prime is 3086468903983. The reversal of 3086468903970 is 793098646803.

3086468903970 is a `hidden beast` number, since 3 + 0 + 86 + 468 + 9 + 0 + 3 + 97 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2937874844529 + 148594059441 = 1714023^2 + 385479^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3086468903898 and 3086468903907.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 433977 + ... + 2522156.

Almost surely, 23086468903970 is an apocalyptic number.

3086468903970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3086468903970 is an abundant number, since it is smaller than the sum of its proper divisors (5219144305110).

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

3086468903970 is a wasteful number, since it uses less digits than its factorization.

3086468903970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957441 (or 2957432 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3086468903970 in words is "three trillion, eighty-six billion, four hundred sixty-eight million, nine hundred three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1289 2578 3867 6445 7734 11601 12890 19335 23202 34803 38670 58005 69606 104409 116010 174015 208818 348030 522045 1044090 2956133 5912266 8868399 14780665 17736798 26605197 29561330 44341995 53210394 79815591 88683990 133025985 159631182 239446773 266051970 399077955 478893546 798155910 1197233865 2394467730 3810455437 7620910874 11431366311 19052277185 22862732622 34294098933 38104554370 57156831555 68588197866 102882296799 114313663110 171470494665 205764593598 308646890397 342940989330 514411483995 617293780794 1028822967990 1543234451985 3086468903970