Search a number
-
+
70253270400 = 2735241178489
BaseRepresentation
bin100000101101101101…
…0111101010110000000
320201100001220220112210
41001123122331112000
52122334314123100
652135055222120
75034640642215
oct1013332752600
9221301826483
1070253270400
1127881159955
1211747817940
136817a637b1
143586503b0c
151c6298dc50
hex105b6bd580

70253270400 has 192 divisors, whose sum is σ = 237041859600. Its totient is φ = 18277171200.

The previous prime is 70253270371. The next prime is 70253270411. The reversal of 70253270400 is 407235207.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 304356 + ... + 482844.

Almost surely, 270253270400 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 70253270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118520929800).

70253270400 is an abundant number, since it is smaller than the sum of its proper divisors (166788589200).

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

70253270400 is a wasteful number, since it uses less digits than its factorization.

70253270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178557 (or 178540 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The spelling of 70253270400 in words is "seventy billion, two hundred fifty-three million, two hundred seventy thousand, four hundred".