Search a number
-
+
29556947147060 = 22537101395463569
BaseRepresentation
bin1101011100001110000110…
…10101011101100100110100
310212122121122110120212001102
412232013003111131210310
512333230111432201220
6142510135110545232
76140263463312414
oct656070325354464
9125577573525042
1029556947147060
119466038131063
123394401968218
1313652924202c8
147427c73b6644
15363c9d8b4775
hex1ae1c355d934

29556947147060 has 48 divisors (see below), whose sum is σ = 64378305487440. Its totient is φ = 11389350758400.

The previous prime is 29556947146997. The next prime is 29556947147069. The reversal of 29556947147060 is 6074174965592.

It can be written as a sum of positive squares in 8 ways, for example, as 8402797942564 + 21154149204496 = 2898758^2 + 4599364^2 .

It is a super-2 number, since 2×295569471470602 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29556947147069) 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 15 ways as a sum of consecutive naturals, for example, 197657045 + ... + 197806524.

It is an arithmetic number, because the mean of its divisors is an integer number (1341214697655).

Almost surely, 229556947147060 is an apocalyptic number.

29556947147060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29556947147060 is an abundant number, since it is smaller than the sum of its proper divisors (34821358340380).

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

29556947147060 is a wasteful number, since it uses less digits than its factorization.

29556947147060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395463716 (or 395463714 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 65.

The spelling of 29556947147060 in words is "twenty-nine trillion, five hundred fifty-six billion, nine hundred forty-seven million, one hundred forty-seven thousand, sixty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 3737 7474 14948 18685 37370 74740 395463569 790927138 1581854276 1977317845 3954635690 7909271380 14632152053 29264304106 39941820469 58528608212 73160760265 79883640938 146321520530 159767281876 199709102345 292643041060 399418204690 798836409380 1477847357353 2955694714706 5911389429412 7389236786765 14778473573530 29556947147060