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70404249244176 = 2432172411312
BaseRepresentation
bin10000000000100001000100…
…010001000101001000010000
3100020021120200011220002222100
4100000201010101011020100
533212000400301303201
6405423133211440400
720554352633354031
oct2000410421051020
9306246604802870
1070404249244176
1120484302299571
127a90994756100
1330391277a30c3
1413558260dca88
15821599499886
hex400844445210

70404249244176 has 135 divisors (see below), whose sum is σ = 209311224050253. Its totient is φ = 22087070599680.

The previous prime is 70404249244163. The next prime is 70404249244201. The reversal of 70404249244176 is 67144294240407.

The square root of 70404249244176 is 8390724.

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

70404249244176 is a `hidden beast` number, since 7 + 0 + 4 + 0 + 42 + 4 + 92 + 441 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54812996816400 + 15591252427776 = 7403580^2 + 3948576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1711687131 + ... + 1711728261.

Almost surely, 270404249244176 is an apocalyptic number.

70404249244176 is the 8390724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70404249244176

70404249244176 is an abundant number, since it is smaller than the sum of its proper divisors (138906974806077).

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

70404249244176 is an frugal number, since it uses more digits than its factorization.

70404249244176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82310 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 70404249244176 in words is "seventy trillion, four hundred four billion, two hundred forty-nine million, two hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 4624 5202 6936 10404 13872 20808 41131 41616 82262 123393 164524 246786 329048 370179 493572 658096 699227 740358 987144 1398454 1480716 1974288 2097681 2796908 2961432 4195362 5593816 5922864 6293043 8390724 11187632 11886859 12586086 16781448 23773718 25172172 33562896 35660577 47547436 50344344 71321154 95094872 100688688 106981731 142642308 190189744 213963462 285284616 427926924 570569232 855853848 1691759161 1711707696 3383518322 5075277483 6767036644 10150554966 13534073288 15225832449 20301109932 27068146576 28759905737 30451664898 40602219864 57519811474 60903329796 81204439728 86279717211 115039622948 121806659592 172559434422 230079245896 243613319184 258839151633 345118868844 460158491792 488918397529 517678303266 690237737688 977836795058 1035356606532 1380475475376 1466755192587 1955673590116 2070713213064 2933510385174 3911347180232 4141426426128 4400265577761 5867020770348 7822694360464 8800531155522 11734041540696 17601062311044 23468083081392 35202124622088 70404249244176