Search a number
-
+
349262069856 = 25372308324083
BaseRepresentation
bin1010001010100011010…
…01000100000001100000
31020101111200012110111220
411011101221010001200
521210242042213411
6424240534135040
734143016416300
oct5052151040140
91211450173456
10349262069856
11125137373527
12578331b1480
1326c20a3b87b
1412c93863600
15914238cb06
hex5151a44060

349262069856 has 144 divisors (see below), whose sum is σ = 1066886904384. Its totient is φ = 99752653056.

The previous prime is 349262069851. The next prime is 349262069867. The reversal of 349262069856 is 658960262943.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 349262069856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349262069851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14490391 + ... + 14514473.

It is an arithmetic number, because the mean of its divisors is an integer number (7408936836).

Almost surely, 2349262069856 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 349262069856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533443452192).

349262069856 is an abundant number, since it is smaller than the sum of its proper divisors (717624834528).

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

349262069856 is a wasteful number, since it uses less digits than its factorization.

349262069856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27193 (or 27178 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 349262069856 in words is "three hundred forty-nine billion, two hundred sixty-two million, sixty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 3083 4704 6166 9249 12332 18498 21581 24083 24664 36996 43162 48166 49328 64743 72249 73992 86324 96332 98656 129486 144498 147984 151067 168581 172648 192664 258972 288996 295968 302134 337162 345296 385328 453201 505743 517944 577992 604268 674324 690592 770656 906402 1011486 1035888 1155984 1180067 1208536 1348648 1812804 2022972 2071776 2311968 2360134 2417072 2697296 3540201 3625608 4045944 4720268 4834144 5394592 7080402 7251216 8091888 9440536 14160804 14502432 16183776 18881072 28321608 37762144 56643216 74247889 113286432 148495778 222743667 296991556 445487334 519735223 593983112 890974668 1039470446 1187966224 1559205669 1781949336 2078940892 2375932448 3118411338 3563898672 3638146561 4157881784 6236822676 7127797344 7276293122 8315763568 10914439683 12473645352 14552586244 16631527136 21828879366 24947290704 29105172488 43657758732 49894581408 58210344976 87315517464 116420689952 174631034928 349262069856