Search a number
-
+
31928670098116 = 22112101225432
BaseRepresentation
bin1110100001001111110010…
…00010100001001011000100
311012001100110220202011011021
413100213321002201023010
513141104404021114431
6151523454544520524
76503525131624531
oct720477102411304
9135040426664137
1031928670098116
11a19a966989900
1236b7ba7020144
1314a7b25b8188c
147c54da75bd88
153a5810a4ab11
hex1d09f90a12c4

31928670098116 has 81 divisors (see below), whose sum is σ = 62055019309549. Its totient is φ = 14363687932000.

The previous prime is 31928670098111. The next prime is 31928670098119. The reversal of 31928670098116 is 61189007682913.

The square root of 31928670098116 is 5650546.

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., 30676688131716 + 1251981966400 = 5538654^2 + 1118920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31928670098111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12555511941 + ... + 12555514483.

Almost surely, 231928670098116 is an apocalyptic number.

31928670098116 is the 5650546-th square number.

It is an amenable number.

31928670098116 is a deficient number, since it is larger than the sum of its proper divisors (30126349211433).

31928670098116 is an equidigital number, since it uses as much as digits as its factorization.

31928670098116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5314 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 31928670098116 in words is "thirty-one trillion, nine hundred twenty-eight billion, six hundred seventy million, ninety-eight thousand, one hundred sixteen".

Divisors: 1 2 4 11 22 44 101 121 202 242 404 484 1111 2222 2543 4444 5086 10172 10201 12221 20402 24442 27973 40804 48884 55946 111892 112211 224422 256843 307703 448844 513686 615406 1027372 1230812 1234321 2468642 2825273 4937284 5650546 6466849 11301092 12933698 25867396 25941143 31078003 51882286 62156006 71135339 103764572 124312012 142270678 284541356 285352573 570705146 653151749 782488729 1141410292 1306303498 1564977458 2612606996 3129954916 3138878303 6277756606 7184669239 12555513212 14369338478 28738676956 65968326649 79031361629 131936653298 158062723258 263873306596 316125446516 725651593139 1451303186278 2902606372556 7982167524529 15964335049058 31928670098116