Search a number
-
+
70669588992 = 293411378191
BaseRepresentation
bin100000111010000111…
…1000101101000000000
320202102002022002021220
41001310033011220000
52124212403321432
652244250315040
75051154411102
oct1016417055000
9222362262256
1070669588992
1127a75160202
1211843128a80
136883099962
1435c5915572
151c892c772c
hex10743c5a00

70669588992 has 160 divisors (see below), whose sum is σ = 194291564544. Its totient is φ = 22811443200.

The previous prime is 70669588921. The next prime is 70669588993. The reversal of 70669588992 is 29988596607.

It is not an unprimeable number, because it can be changed into a prime (70669588993) 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, 8623617 + ... + 8631807.

Almost surely, 270669588992 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 70669588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97145782272).

70669588992 is an abundant number, since it is smaller than the sum of its proper divisors (123621975552).

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

70669588992 is a wasteful number, since it uses less digits than its factorization.

70669588992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8390 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 69.

The spelling of 70669588992 in words is "seventy billion, six hundred sixty-nine million, five hundred eighty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 137 164 192 246 256 274 328 384 411 492 512 548 656 768 822 984 1096 1312 1536 1644 1968 2192 2624 3288 3936 4384 5248 5617 6576 7872 8191 8768 10496 11234 13152 15744 16382 16851 17536 20992 22468 24573 26304 31488 32764 33702 35072 44936 49146 52608 62976 65528 67404 70144 89872 98292 105216 131056 134808 179744 196584 210432 262112 269616 335831 359488 393168 524224 539232 671662 718976 786336 1007493 1048448 1078464 1122167 1343324 1437952 1572672 2014986 2096896 2156928 2244334 2686648 2875904 3145344 3366501 4029972 4193792 4313856 4488668 5373296 6290688 6733002 8059944 8627712 8977336 10746592 12581376 13466004 16119888 17954672 21493184 26932008 32239776 35909344 42986368 46008847 53864016 64479552 71818688 85972736 92017694 107728032 128959104 138026541 143637376 171945472 184035388 215456064 257918208 276053082 287274752 368070776 430912128 515836416 552106164 574549504 736141552 861824256 1104212328 1472283104 1723648512 2208424656 2944566208 4416849312 5889132416 8833698624 11778264832 17667397248 23556529664 35334794496 70669588992