Search a number
-
+
51419695920 = 2435701305633
BaseRepresentation
bin101111111000110110…
…100100101100110000
311220201112020012022020
4233320312210230300
51320301420232140
635342154311440
73500141126625
oct577066445460
9156645205266
1051419695920
111a89709466a
129b70428580
134b05c26398
1426bb0cc34c
15150e32a6d0
hexbf8da4b30

51419695920 has 80 divisors (see below), whose sum is σ = 159628970592. Its totient is φ = 13692313600.

The previous prime is 51419695913. The next prime is 51419695937. The reversal of 51419695920 is 2959691415.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15424 + ... + 321056.

Almost surely, 251419695920 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 51419695920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79814485296).

51419695920 is an abundant number, since it is smaller than the sum of its proper divisors (108209274672).

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

51419695920 is a wasteful number, since it uses less digits than its factorization.

51419695920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306350 (or 306344 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The spelling of 51419695920 in words is "fifty-one billion, four hundred nineteen million, six hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 701 1402 2103 2804 3505 4206 5608 7010 8412 10515 11216 14020 16824 21030 28040 33648 42060 56080 84120 168240 305633 611266 916899 1222532 1528165 1833798 2445064 3056330 3667596 4584495 4890128 6112660 7335192 9168990 12225320 14670384 18337980 24450640 36675960 73351920 214248733 428497466 642746199 856994932 1071243665 1285492398 1713989864 2142487330 2570984796 3213730995 3427979728 4284974660 5141969592 6427461990 8569949320 10283939184 12854923980 17139898640 25709847960 51419695920