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60860890752 = 273833475503
BaseRepresentation
bin111000101011100101…
…110111111010000000
312211002111111120211220
4320223211313322000
51444120342001002
643543100035040
74253122015164
oct705345677200
9184074446756
1060860890752
11238a1428022
12b966232a80
13597bc0c5bc
142d34d4cca4
1518b31067bc
hexe2b977e80

60860890752 has 128 divisors (see below), whose sum is σ = 164110786560. Its totient is φ = 19981151232.

The previous prime is 60860890721. The next prime is 60860890757. The reversal of 60860890752 is 25709806806.

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

It is a junction number, because it is equal to n+sod(n) for n = 60860890695 and 60860890704.

It is not an unprimeable number, because it can be changed into a prime (60860890757) 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 15 ways as a sum of consecutive naturals, for example, 11056833 + ... + 11062335.

It is an arithmetic number, because the mean of its divisors is an integer number (1282115520).

Almost surely, 260860890752 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 60860890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82055393280).

60860890752 is an abundant number, since it is smaller than the sum of its proper divisors (103249895808).

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

60860890752 is a wasteful number, since it uses less digits than its factorization.

60860890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 60860890752 in words is "sixty billion, eight hundred sixty million, eight hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 347 384 498 664 694 996 1041 1328 1388 1992 2082 2656 2776 3984 4164 5312 5503 5552 7968 8328 10624 11006 11104 15936 16509 16656 22012 22208 28801 31872 33018 33312 44024 44416 57602 66036 66624 86403 88048 115204 132072 133248 172806 176096 230408 264144 345612 352192 456749 460816 528288 691224 704384 913498 921632 1056576 1370247 1382448 1826996 1843264 1909541 2113152 2740494 2764896 3653992 3686528 3819082 5480988 5529792 5728623 7307984 7638164 10961976 11059584 11457246 14615968 15276328 21923952 22914492 29231936 30552656 43847904 45828984 58463872 61105312 87695808 91657968 122210624 158491903 175391616 183315936 244421248 316983806 366631872 475475709 633967612 733263744 950951418 1267935224 1901902836 2535870448 3803805672 5071740896 7607611344 10143481792 15215222688 20286963584 30430445376 60860890752