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69211760640 = 2113511316607
BaseRepresentation
bin100000001110101010…
…1111010100000000000
320121122111010201202020
41000131111322200000
52113221202320030
651443452121440
75000063154501
oct1003525724000
9217574121666
1069211760640
1127397264190
12114b6a66280
1366b0051829
1434c806cba8
151c0130d510
hex101d57a800

69211760640 has 384 divisors, whose sum is σ = 249382748160. Its totient is φ = 16234905600.

The previous prime is 69211760593. The next prime is 69211760659. The reversal of 69211760640 is 4606711296.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 69211760592 and 69211760601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10472217 + ... + 10478823.

It is an arithmetic number, because the mean of its divisors is an integer number (649434240).

Almost surely, 269211760640 is an apocalyptic number.

69211760640 is a gapful number since it is divisible by the number (60) 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 69211760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124691374080).

69211760640 is an abundant number, since it is smaller than the sum of its proper divisors (180170987520).

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

69211760640 is a wasteful number, since it uses less digits than its factorization.

69211760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6679 (or 6659 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 69211760640 in words is "sixty-nine billion, two hundred eleven million, seven hundred sixty thousand, six hundred forty".