Search a number
-
+
19957552950336 = 263316551511843
BaseRepresentation
bin1001000100110101110101…
…10110101010110001000000
32121122220221011211222002020
410202122322312222301000
510103441032023402321
6110240212342321440
74126612524035331
oct442327266526100
977586834758066
1019957552950336
1163a4a50391401
1222a3aa8129280
13b19cb22812c1
144cdd44aa4288
1524921d6324c6
hex1226badaac40

19957552950336 has 112 divisors (see below), whose sum is σ = 54516152291328. Its totient is φ = 6436924992000.

The previous prime is 19957552950241. The next prime is 19957552950341. The reversal of 19957552950336 is 63305925575991.

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, 38735631 + ... + 39247473.

It is an arithmetic number, because the mean of its divisors is an integer number (486751359744).

Almost surely, 219957552950336 is an apocalyptic number.

19957552950336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19957552950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27258076145664).

19957552950336 is an abundant number, since it is smaller than the sum of its proper divisors (34558599340992).

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

19957552950336 is a wasteful number, since it uses less digits than its factorization.

19957552950336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518440 (or 518430 counting only the distinct ones).

The product of its (nonzero) digits is 344452500, while the sum is 69.

The spelling of 19957552950336 in words is "nineteen trillion, nine hundred fifty-seven billion, five hundred fifty-two million, nine hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 6551 13102 19653 26204 39306 52408 78612 104816 157224 203081 209632 314448 406162 419264 511843 609243 628896 812324 1023686 1218486 1257792 1535529 1624648 2047372 2436972 3071058 3249296 4094744 4873944 6142116 6498592 8189488 9747888 12284232 12997184 15867133 16378976 19495776 24568464 31734266 32757952 38991552 47601399 49136928 63468532 95202798 98273856 126937064 190405596 253874128 380811192 507748256 761622384 1015496512 1523244768 3046489536 3353083493 6706166986 10059250479 13412333972 20118500958 26824667944 40237001916 53649335888 80474003832 103945588283 107298671776 160948007664 207891176566 214597343552 311836764849 321896015328 415782353132 623673529698 643792030656 831564706264 1247347059396 1663129412528 2494694118792 3326258825056 4989388237584 6652517650112 9978776475168 19957552950336