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42780138973 = 11132317310169
BaseRepresentation
bin100111110101111001…
…010001110111011101
311002102102101020012121
4213311321101313131
51200103203421343
631353010502541
73043063116145
oct476571216735
9132372336177
1042780138973
1117163300660
12835ab94a51
13405a047700
1420db901925
1511a5aebaed
hex9f5e51ddd

42780138973 has 48 divisors (see below), whose sum is σ = 52885301760. Its totient is φ = 34262092800.

The previous prime is 42780138967. The next prime is 42780138977. The reversal of 42780138973 is 37983108724.

It is not a de Polignac number, because 42780138973 - 213 = 42780130781 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42780138973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42780138977) 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 47 ways as a sum of consecutive naturals, for example, 4201833 + ... + 4212001.

It is an arithmetic number, because the mean of its divisors is an integer number (1101777120).

Almost surely, 242780138973 is an apocalyptic number.

It is an amenable number.

42780138973 is a deficient number, since it is larger than the sum of its proper divisors (10105162787).

42780138973 is a wasteful number, since it uses less digits than its factorization.

42780138973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10310 (or 10297 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 42780138973 in words is "forty-two billion, seven hundred eighty million, one hundred thirty-eight thousand, nine hundred seventy-three".

Divisors: 1 11 13 31 73 143 169 341 403 803 949 1859 2263 4433 5239 10169 10439 12337 24893 29419 57629 111859 132197 135707 315239 323609 382447 742337 1454167 1718561 3467629 4098107 4206917 8165707 9650381 18904171 23012447 45079177 53275391 106154191 125454953 253136917 299161811 586029301 1380004483 3290779921 3889103543 42780138973