Search a number
-
+
50099973456 = 243133110923761
BaseRepresentation
bin101110101010001100…
…001110110101010000
311210022112221100102110
4232222030032311100
51310101043122311
635003212145320
73422344514361
oct565214166520
9153275840373
1050099973456
111a27a146645
129862468240
1349556a4410
1425d3b15b68
1514835418a6
hexbaa30ed50

50099973456 has 160 divisors (see below), whose sum is σ = 145202928640. Its totient is φ = 14780620800.

The previous prime is 50099973421. The next prime is 50099973479. The reversal of 50099973456 is 65437999005.

It is a junction number, because it is equal to n+sod(n) for n = 50099973396 and 50099973405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2096616 + ... + 2120376.

It is an arithmetic number, because the mean of its divisors is an integer number (907518304).

Almost surely, 250099973456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50099973456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72601464320).

50099973456 is an abundant number, since it is smaller than the sum of its proper divisors (95102955184).

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

50099973456 is a wasteful number, since it uses less digits than its factorization.

50099973456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23925 (or 23919 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 57.

The spelling of 50099973456 in words is "fifty billion, ninety-nine million, nine hundred seventy-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 109 124 156 186 208 218 248 312 327 372 403 436 496 624 654 744 806 872 1209 1308 1417 1488 1612 1744 2418 2616 2834 3224 3379 4251 4836 5232 5668 6448 6758 8502 9672 10137 11336 13516 17004 19344 20274 22672 23761 27032 34008 40548 43927 47522 54064 68016 71283 81096 87854 95044 131781 142566 162192 175708 190088 263562 285132 308893 351416 380176 527124 570264 617786 702832 736591 926679 1054248 1140528 1235572 1473182 1853358 2108496 2209773 2471144 2589949 2946364 3706716 4419546 4942288 5179898 5892728 7413432 7769847 8839092 9575683 10359796 11785456 14826864 15539694 17678184 19151366 20719592 28727049 31079388 33669337 35356368 38302732 41439184 57454098 62158776 67338674 76605464 80288419 101008011 114908196 124317552 134677348 153210928 160576838 202016022 229816392 240865257 269354696 321153676 404032044 459632784 481730514 538709392 642307352 808064088 963461028 1043749447 1284614704 1616128176 1926922056 2087498894 3131248341 3853844112 4174997788 6262496682 8349995576 12524993364 16699991152 25049986728 50099973456