Search a number
-
+
3273030959104 = 2163721912
BaseRepresentation
bin101111101000001111110…
…110010000000000000000
3102120220021011012002001201
4233220033312100000000
5412111131411142404
610543335404310544
7455316521055154
oct57501766200000
912526234162051
103273030959104
1110520a2715425
1244a403542454
131a98511ca63a
14b45b6375064
155a214435ca4
hex2fa0fd90000

3273030959104 has 153 divisors (see below), whose sum is σ = 6763120863681. Its totient is φ = 1583948759040.

The previous prime is 3273030959087. The next prime is 3273030959111. The reversal of 3273030959104 is 4019590303723.

The square root of 3273030959104 is 1809152.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2928753049600 + 344277909504 = 1711360^2 + 586752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17136287649 + ... + 17136287839.

Almost surely, 23273030959104 is an apocalyptic number.

3273030959104 is the 1809152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3273030959104

3273030959104 is an abundant number, since it is smaller than the sum of its proper divisors (3490089904577).

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

3273030959104 is an frugal number, since it uses more digits than its factorization.

3273030959104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 3273030959104 in words is "three trillion, two hundred seventy-three billion, thirty million, nine hundred fifty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 191 256 296 382 512 592 764 1024 1184 1369 1528 2048 2368 2738 3056 4096 4736 5476 6112 7067 8192 9472 10952 12224 14134 16384 18944 21904 24448 28268 32768 36481 37888 43808 48896 56536 65536 72962 75776 87616 97792 113072 145924 151552 175232 195584 226144 261479 291848 303104 350464 391168 452288 522958 583696 606208 700928 782336 904576 1045916 1167392 1212416 1349797 1401856 1564672 1809152 2091832 2334784 2424832 2699594 2803712 3129344 3618304 4183664 4669568 5399188 5607424 6258688 7236608 8367328 9339136 10798376 11214848 12517376 14473216 16734656 18678272 21596752 22429696 28946432 33469312 37356544 43193504 44859392 49942489 57892864 66938624 74713088 86387008 89718784 99884978 115785728 133877248 149426176 172774016 199769956 231571456 267754496 298852352 345548032 399539912 463142912 535508992 597704704 691096064 799079824 1071017984 1195409408 1382192128 1598159648 2142035968 2390818816 2764384256 3196319296 4284071936 5528768512 6392638592 8568143872 11057537024 12785277184 17136287744 22115074048 25570554368 44230148096 51141108736 88460296192 102282217472 204564434944 409128869888 818257739776 1636515479552 3273030959104