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60885680768 = 2711675411193
BaseRepresentation
bin111000101101000100…
…011100001010000000
312211011020011001100122
4320231010130022000
51444143213241033
643545343235412
74253542514243
oct705504341200
9184136131318
1060885680768
112390441a140
12b9725a8b68
1359840ac053
142d3836325a
1518b53a1a98
hexe2d11c280

60885680768 has 128 divisors (see below), whose sum is σ = 134658555840. Its totient is φ = 27189043200.

The previous prime is 60885680767. The next prime is 60885680809. The reversal of 60885680768 is 86708658806.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×608856807682 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 60885680768.

It is not an unprimeable number, because it can be changed into a prime (60885680767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51035180 + ... + 51036372.

Almost surely, 260885680768 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 60885680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67329277920).

60885680768 is an abundant number, since it is smaller than the sum of its proper divisors (73772875072).

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

60885680768 is a wasteful number, since it uses less digits than its factorization.

60885680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 60885680768 in words is "sixty billion, eight hundred eighty-five million, six hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 128 134 176 268 352 536 541 704 737 1072 1082 1193 1408 1474 2144 2164 2386 2948 4288 4328 4772 5896 5951 8576 8656 9544 11792 11902 13123 17312 19088 23584 23804 26246 34624 36247 38176 47168 47608 52492 69248 72494 76352 79931 94336 95216 104984 144988 152704 159862 190432 209968 289976 319724 380864 398717 419936 579952 639448 645413 761728 797434 839872 879241 1159904 1278896 1290826 1594868 1679744 1758482 2319808 2557792 2581652 3189736 3516964 4639616 5115584 5163304 6379472 7033928 7099543 10231168 10326608 12758944 14067856 14199086 20653216 25517888 28135712 28398172 41306432 43242671 51035776 56271424 56796344 82612864 86485342 112542848 113592688 172970684 227185376 345941368 454370752 475669381 691882736 908741504 951338762 1383765472 1902677524 2767530944 3805355048 5535061888 7610710096 15221420192 30442840384 60885680768