Search a number
-
+
5982474911680 = 265359487110691
BaseRepresentation
bin101011100001110011101…
…0010101011111111000000
3210011220210221222211020001
41113003213102223333000
51241004102034133210
620420151103325344
71155135206502211
oct127034722537700
923156727884201
105982474911680
1119a7176141193
1280753a8b0854
133451b663c157
141697a64a7408
15a594063e03a
hex570e74abfc0

5982474911680 has 112 divisors (see below), whose sum is σ = 14289719431680. Its totient is φ = 2385611187200.

The previous prime is 5982474911669. The next prime is 5982474911683. The reversal of 5982474911680 is 861194742895.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5982474911683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559575135 + ... + 559585825.

It is an arithmetic number, because the mean of its divisors is an integer number (127586780640).

Almost surely, 25982474911680 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 5982474911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7144859715840).

5982474911680 is an abundant number, since it is smaller than the sum of its proper divisors (8307244520000).

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

5982474911680 is a wasteful number, since it uses less digits than its factorization.

5982474911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 15928 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 64.

The spelling of 5982474911680 in words is "five trillion, nine hundred eighty-two billion, four hundred seventy-four million, nine hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 359 718 1436 1795 2872 3590 4871 5744 7180 9742 10691 11488 14360 19484 21382 22976 24355 28720 38968 42764 48710 53455 57440 77936 85528 97420 106910 114880 155872 171056 194840 213820 311744 342112 389680 427640 684224 779360 855280 1558720 1710560 1748689 3421120 3497378 3838069 6994756 7676138 8743445 13989512 15352276 17486890 19190345 27979024 30704552 34973780 38380690 52075861 55958048 61409104 69947560 76761380 104151722 111916096 122818208 139895120 153522760 208303444 245636416 260379305 279790240 307045520 416606888 520758610 559580480 614091040 833213776 1041517220 1228182080 1666427552 2083034440 3332855104 4166068880 8332137760 16664275520 18695234099 37390468198 74780936396 93476170495 149561872792 186952340990 299123745584 373904681980 598247491168 747809363960 1196494982336 1495618727920 2991237455840 5982474911680