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1679405806708 = 227273595319717
BaseRepresentation
bin11000011100000100011…
…000101111010001110100
312221112211200022102000021
4120130010120233101310
5210003410341303313
63323301450454524
7232222145552500
oct30340430572164
95845750272007
101679405806708
11598260883333
12231591734444
13c24a0c16296
145b3d8591300
152da4283078d
hex1870462f474

1679405806708 has 72 divisors (see below), whose sum is σ = 3466381099272. Its totient is φ = 709730574336.

The previous prime is 1679405806679. The next prime is 1679405806709. The reversal of 1679405806708 is 8076085049761.

It can be written as a sum of positive squares in 4 ways, for example, as 57863340304 + 1621542466404 = 240548^2 + 1273398^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679405806709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85165666 + ... + 85185382.

Almost surely, 21679405806708 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 1679405806708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733190549636).

1679405806708 is an abundant number, since it is smaller than the sum of its proper divisors (1786975292564).

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

1679405806708 is a wasteful number, since it uses less digits than its factorization.

1679405806708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25761 (or 25752 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 61.

The spelling of 1679405806708 in words is "one trillion, six hundred seventy-nine billion, four hundred five million, eight hundred six thousand, seven hundred eight".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 2044 3577 5953 7154 11906 14308 19717 23812 39434 41671 78868 83342 138019 166684 276038 291697 434569 552076 583394 869138 966133 1166788 1439341 1738276 1932266 2878682 3041983 3864532 5757364 6083966 10075387 12167932 20150774 21293881 40301548 42587762 70527709 85175524 117375301 141055418 234750602 282110836 469501204 821627107 1643254214 3286508428 5751389749 8568396973 11502779498 17136793946 23005558996 34273587892 59978778811 119957557622 239915115244 419851451677 839702903354 1679405806708