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68013377680 = 245672189389
BaseRepresentation
bin111111010101111010…
…011100100010010000
320111112222011120101011
4333111322130202100
52103242411041210
651124522420304
74625302112563
oct772572344220
9214488146334
1068013377680
1126931862346
1211221661694
13654b9a53a1
143412c404da
151b80ee1d8a
hexfd5e9c890

68013377680 has 60 divisors (see below), whose sum is σ = 160527342780. Its totient is φ = 26799159552.

The previous prime is 68013377647. The next prime is 68013377741. The reversal of 68013377680 is 8677331086.

It can be written as a sum of positive squares in 2 ways, for example, as 45166450576 + 22846927104 = 212524^2 + 151152^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 264426 + ... + 453814.

It is an arithmetic number, because the mean of its divisors is an integer number (2675455713).

Almost surely, 268013377680 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 68013377680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80263671390).

68013377680 is an abundant number, since it is smaller than the sum of its proper divisors (92513965100).

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

68013377680 is a wasteful number, since it uses less digits than its factorization.

68013377680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189536 (or 189463 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 49.

The spelling of 68013377680 in words is "sixty-eight billion, thirteen million, three hundred seventy-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 4489 5360 8978 17956 22445 35912 44890 71824 89780 179560 189389 359120 378778 757556 946945 1515112 1893890 3030224 3787780 7575560 12689063 15151120 25378126 50756252 63445315 101512504 126890630 203025008 253781260 507562520 850167221 1015125040 1700334442 3400668884 4250836105 6801337768 8501672210 13602675536 17003344420 34006688840 68013377680