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34586048442 = 23113137456871
BaseRepresentation
bin100000001101011111…
…010011011110111010
310022021100202022011010
4200031133103132322
51031313012022232
623515535014350
72333034363321
oct401537233672
9108240668133
1034586048442
1113738a17110
12685296a3b6
13335253902a
1419615530b8
15d765630cc
hex80d7d37ba

34586048442 has 64 divisors (see below), whose sum is σ = 80000114688. Its totient is φ = 9868392000.

The previous prime is 34586048377. The next prime is 34586048443. The reversal of 34586048442 is 24484068543.

It is a junction number, because it is equal to n+sod(n) for n = 34586048391 and 34586048400.

It is not an unprimeable number, because it can be changed into a prime (34586048443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152734 + ... + 304137.

It is an arithmetic number, because the mean of its divisors is an integer number (1250001792).

Almost surely, 234586048442 is an apocalyptic number.

34586048442 is an abundant number, since it is smaller than the sum of its proper divisors (45414066246).

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

34586048442 is a wasteful number, since it uses less digits than its factorization.

34586048442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456955.

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 34586048442 in words is "thirty-four billion, five hundred eighty-six million, forty-eight thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 37 62 66 74 93 111 186 222 341 407 682 814 1023 1147 1221 2046 2294 2442 3441 6882 12617 25234 37851 75702 456871 913742 1370613 2741226 5025581 10051162 14163001 15076743 16904227 28326002 30153486 33808454 42489003 50712681 84978006 101425362 155793011 185946497 311586022 371892994 467379033 524031037 557839491 934758066 1048062074 1115678982 1572093111 3144186222 5764341407 11528682814 17293024221 34586048442