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84420631755 = 335171916711593
BaseRepresentation
bin100111010011111011…
…1001001110011001011
322001220102022102202000
41032213313021303023
52340343140204010
6102440551042043
76046010346555
oct1164767116313
9261812272660
1084420631755
1132891278159
1214440370323
137c64c3c955
14412bd044d5
1522e16307c0
hex13a7dc9ccb

84420631755 has 128 divisors (see below), whose sum is σ = 168289228800. Its totient is φ = 39901704192.

The previous prime is 84420631741. The next prime is 84420631783. The reversal of 84420631755 is 55713602448.

84420631755 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 0 + 631 + 7 + 5 + 5 = 666.

It is not a de Polignac number, because 84420631755 - 25 = 84420631723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 84420631755.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7276239 + ... + 7287831.

It is an arithmetic number, because the mean of its divisors is an integer number (1314759600).

Almost surely, 284420631755 is an apocalyptic number.

84420631755 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

84420631755 is a deficient number, since it is larger than the sum of its proper divisors (83868597045).

84420631755 is a wasteful number, since it uses less digits than its factorization.

84420631755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11810 (or 11804 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 84420631755 in words is "eighty-four billion, four hundred twenty million, six hundred thirty-one thousand, seven hundred fifty-five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 85 95 135 153 167 171 255 285 323 459 501 513 765 835 855 969 1503 1615 2295 2505 2565 2839 2907 3173 4509 4845 7515 8517 8721 9519 11593 14195 14535 15865 22545 25551 28557 34779 42585 43605 47595 53941 57965 76653 85671 104337 127755 142785 161823 173895 197081 220267 269705 313011 383265 428355 485469 521685 591243 660801 809115 985405 1101335 1456407 1565055 1773729 1936031 1982403 2427345 2956215 3304005 3744539 5321187 5808093 5947209 7282035 8868645 9680155 9912015 11233617 17424279 18722695 26605935 29040465 29736045 32912527 33700851 36784589 52272837 56168085 87121395 98737581 101102553 110353767 164562635 168504255 183922945 261364185 296212743 331061301 493687905 505512765 551768835 625338013 888638229 993183903 1481063715 1655306505 1876014039 3126690065 4443191145 4965919515 5628042117 9380070195 16884126351 28140210585 84420631755