Search a number
-
+
70018152948 = 22334130895119
BaseRepresentation
bin100000100110101101…
…0000011100111110100
320200201200111201001000
41001031122003213310
52121344121343243
652055500003300
75026054323462
oct1011532034764
9220650451030
1070018152948
1127770470707
12116a0b30530
1367ab132143
1435631bd832
151c4bee95d3
hex104d6839f4

70018152948 has 96 divisors (see below), whose sum is σ = 186052608000. Its totient is φ = 22758312960.

The previous prime is 70018152929. The next prime is 70018152949. The reversal of 70018152948 is 84925181007.

70018152948 is a `hidden beast` number, since 7 + 0 + 0 + 1 + 81 + 529 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70018152949) 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 31 ways as a sum of consecutive naturals, for example, 13675533 + ... + 13680651.

It is an arithmetic number, because the mean of its divisors is an integer number (1938048000).

Almost surely, 270018152948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70018152948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93026304000).

70018152948 is an abundant number, since it is smaller than the sum of its proper divisors (116034455052).

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

70018152948 is a wasteful number, since it uses less digits than its factorization.

70018152948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 70018152948 in words is "seventy billion, eighteen million, one hundred fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 3089 4428 5119 6178 9267 10238 12356 15357 18534 20476 27801 30714 37068 46071 55602 61428 83403 92142 111204 126649 138213 166806 184284 209879 253298 276426 333612 379947 419758 506596 552852 629637 759894 839516 1139841 1259274 1519788 1888911 2279682 2518548 3419523 3777822 4559364 5666733 6839046 7555644 11333466 13678092 15812591 22666932 31625182 47437773 63250364 94875546 142313319 189751092 284626638 426939957 569253276 648316231 853879914 1296632462 1707759828 1944948693 2593264924 3889897386 5834846079 7779794772 11669692158 17504538237 23339384316 35009076474 70018152948