Search a number
-
+
106346726470416 = 24322734273284777
BaseRepresentation
bin11000001011100011000110…
…110110101011001100010000
3111221112122111012212202011110
4120023203012312223030100
5102414341043434023131
61014103002305213320
731254204010054605
oct3013430666531420
9457478435782143
10106346726470416
1130981436703723
12bb1685b631240
1347455b7acc5b3
141c392cd7c86ac
15c464c81d6646
hex60b8c6dab310

106346726470416 has 80 divisors (see below), whose sum is σ = 275948323694784. Its totient is φ = 35291592548352.

The previous prime is 106346726470373. The next prime is 106346726470421. The reversal of 106346726470416 is 614074627643601.

It is a super-2 number, since 2×1063467264704162 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373296220 + ... + 373580996.

Almost surely, 2106346726470416 is an apocalyptic number.

106346726470416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106346726470416 is an abundant number, since it is smaller than the sum of its proper divisors (169601597224368).

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

106346726470416 is a wasteful number, since it uses less digits than its factorization.

106346726470416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319288 (or 319282 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 106346726470416 in words is "one hundred six trillion, three hundred forty-six billion, seven hundred twenty-six million, four hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 227 454 681 908 1362 1816 2724 3632 5448 10896 34273 68546 102819 137092 205638 274184 284777 411276 548368 569554 822552 854331 1139108 1645104 1708662 2278216 3417324 4556432 6834648 7779971 13669296 15559942 23339913 31119884 46679826 62239768 64644379 93359652 124479536 129288758 186719304 193933137 258577516 373438608 387866274 517155032 775732548 1034310064 1551465096 3102930192 9760162121 19520324242 29280486363 39040648484 58560972726 78081296968 117121945452 156162593936 234243890904 468487781808 2215556801467 4431113602934 6646670404401 8862227205868 13293340808802 17724454411736 26586681617604 35448908823472 53173363235208 106346726470416