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70400610477153 = 321117120767346373
BaseRepresentation
bin10000000000011101101011…
…011000010010010001100001
3100020021020021120220121000100
4100000131223120102101201
533211420422240232103
6405421332144213013
720554163520350565
oct2000355330222141
9306236246817010
1070400610477153
1120482805301aa0
127a9013a00a169
13303899796b718
14135559cb3b6a5
15821434ccb5a3
hex40076b612461

70400610477153 has 48 divisors (see below), whose sum is σ = 117461153811456. Its totient is φ = 40156762513920.

The previous prime is 70400610477143. The next prime is 70400610477203. The reversal of 70400610477153 is 35177401600407.

70400610477153 is a `hidden beast` number, since 70 + 4 + 0 + 0 + 61 + 0 + 477 + 1 + 53 = 666.

It is not a de Polignac number, because 70400610477153 - 25 = 70400610477121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 70400610477099 and 70400610477108.

It is not an unprimeable number, because it can be changed into a prime (70400610477133) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 203077675 + ... + 203424047.

It is an arithmetic number, because the mean of its divisors is an integer number (2447107371072).

Almost surely, 270400610477153 is an apocalyptic number.

It is an amenable number.

70400610477153 is a deficient number, since it is larger than the sum of its proper divisors (47060543334303).

70400610477153 is a wasteful number, since it uses less digits than its factorization.

70400610477153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467174 (or 467171 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 70400610477153 in words is "seventy trillion, four hundred billion, six hundred ten million, four hundred seventy-seven thousand, one hundred fifty-three".

Divisors: 1 3 9 11 17 33 51 99 153 187 561 1683 120767 346373 362301 1039119 1086903 1328437 2053039 3117357 3810103 3985311 5888341 6159117 11430309 11955933 17665023 18477351 22583429 34290927 52995069 64771751 67750287 194315253 203250861 582945759 41830428091 125491284273 376473852819 460134709001 711117277547 1380404127003 2133351832641 4141212381009 6400055497923 7822290053017 23466870159051 70400610477153