Search a number
-
+
107320649146624 = 28232281512
BaseRepresentation
bin11000011001101110001001…
…001010110110000100000000
3112001222202100120012212102101
4120121232021022312010000
5103031320142140142444
61020130231532200144
731414442506162564
oct3031561112660400
9461882316185371
10107320649146624
1131217482666251
1210053564309054
1347b63a85c0514
141c704c076d6a4
15c619ca3c33d4
hex619b892b6100

107320649146624 has 81 divisors (see below), whose sum is σ = 223948992299599. Its totient is φ = 51325443699200.

The previous prime is 107320649146589. The next prime is 107320649146643. The reversal of 107320649146624 is 426641946023701.

The square root of 107320649146624 is 10359568.

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

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, 3812306949 + ... + 3812335099.

Almost surely, 2107320649146624 is an apocalyptic number.

107320649146624 is the 10359568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107320649146624

107320649146624 is an abundant number, since it is smaller than the sum of its proper divisors (116628343152975).

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

107320649146624 is an frugal number, since it uses more digits than its factorization.

107320649146624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56364 (or 28176 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 107320649146624 in words is "one hundred seven trillion, three hundred twenty billion, six hundred forty-nine million, one hundred forty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1058 1472 2116 2944 4232 5888 8464 16928 28151 33856 56302 67712 112604 135424 225208 450416 647473 900832 1294946 1801664 2589892 3603328 5179784 7206656 10359568 14891879 20719136 29783758 41438272 59567516 82876544 119135032 165753088 238270064 476540128 792478801 953080256 1584957602 1906160512 3169915204 3812321024 6339830408 12679660816 18227012423 25359321632 36454024846 50718643264 72908049692 101437286528 145816099384 202874573056 291632198768 419221285729 583264397536 838442571458 1166528795072 1676885142916 2333057590144 3353770285832 4666115180288 6707540571664 13415081143328 26830162286656 53660324573312 107320649146624