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70207334094816 = 253217311513063391
BaseRepresentation
bin11111111011010011010110…
…01101011001011111100000
3100012120202101211022002000100
433331221223031121133200
533200234110012013231
6405152445400422400
720534212121250462
oct1775515315313740
9305522354262010
1070207334094816
1120408843882306
127a5a79a177a00
1330236a5606649
14134a0a59d0132
1581b3c1c7a1e6
hex3fda6b3597e0

70207334094816 has 288 divisors, whose sum is σ = 219660792938496. Its totient is φ = 21174151680000.

The previous prime is 70207334094803. The next prime is 70207334094827. The reversal of 70207334094816 is 61849043370207.

70207334094816 is a `hidden beast` number, since 7 + 0 + 207 + 3 + 340 + 94 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×702073340948162 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21386481 + ... + 24449871.

It is an arithmetic number, because the mean of its divisors is an integer number (762711086592).

Almost surely, 270207334094816 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 70207334094816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109830396469248).

70207334094816 is an abundant number, since it is smaller than the sum of its proper divisors (149453458843680).

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

70207334094816 is a wasteful number, since it uses less digits than its factorization.

70207334094816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063606 (or 3063595 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 70207334094816 in words is "seventy trillion, two hundred seven billion, three hundred thirty-four million, ninety-four thousand, eight hundred sixteen".