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1696070420352 = 27357211217541
BaseRepresentation
bin11000101011100101101…
…011001100011110000000
320000010212001201111100000
4120223211223030132000
5210242023011422402
63335055231200000
7233352130463100
oct30534553143600
96003761644300
101696070420352
115a4332599200
12234862676000
13c3c2859c009
145c1398c9200
152e1ba858c1c
hex18ae5acc780

1696070420352 has 1728 divisors, whose sum is σ = 6864989105520. Its totient is φ = 413857382400.

The previous prime is 1696070420323. The next prime is 1696070420353. The reversal of 1696070420352 is 2530240706961.

1696070420352 is a `hidden beast` number, since 1 + 6 + 9 + 607 + 0 + 4 + 2 + 0 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 1696070420298 and 1696070420307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1696070420353) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3135065202 + ... + 3135065742.

Almost surely, 21696070420352 is an apocalyptic number.

1696070420352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1696070420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432494552760).

1696070420352 is an abundant number, since it is smaller than the sum of its proper divisors (5168918685168).

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

1696070420352 is a wasteful number, since it uses less digits than its factorization.

1696070420352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 1696070420352 in words is "one trillion, six hundred ninety-six billion, seventy million, four hundred twenty thousand, three hundred fifty-two".