Search a number
-
+
83080208411442 = 232111724682177187
BaseRepresentation
bin10010111000111110011110…
…010011110110101100110010
3101220011101112120101202211100
4102320332132103312230302
541342141231323131232
6452410304300425230
723333230004455524
oct2270763623665462
9356141476352740
1083080208411442
112452113382a560
129399601848216
133748578a379b8
141673164197a14
15991190ab7c7c
hex4b8f9e4f6b32

83080208411442 has 48 divisors (see below), whose sum is σ = 207922660631712. Its totient is φ = 23694890098560.

The previous prime is 83080208411429. The next prime is 83080208411503. The reversal of 83080208411442 is 24411480208038.

83080208411442 is a `hidden beast` number, since 8 + 30 + 80 + 20 + 84 + 1 + 1 + 442 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12341085228 + ... + 12341091959.

It is an arithmetic number, because the mean of its divisors is an integer number (4331722096494).

Almost surely, 283080208411442 is an apocalyptic number.

83080208411442 is an abundant number, since it is smaller than the sum of its proper divisors (124842452220270).

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

83080208411442 is a wasteful number, since it uses less digits than its factorization.

83080208411442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682177223 (or 24682177220 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 83080208411442 in words is "eighty-three trillion, eighty billion, two hundred eight million, four hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3366 24682177187 49364354374 74046531561 148093063122 222139594683 271503949057 419597012179 444279189366 543007898114 814511847171 839194024358 1258791036537 1629023694342 2443535541513 2517582073074 3776373109611 4615567133969 4887071083026 7552746219222 9231134267938 13846701401907 27693402803814 41540104205721 83080208411442