Search a number
-
+
50145330432 = 2831633971009
BaseRepresentation
bin101110101100111001…
…010000010100000000
311210102201021201111110
4232230321100110000
51310144201033212
635011512243320
73423435163431
oct565471202400
9153381251443
1050145330432
111a2a2805a4a
1298756a0540
134961bc5372
1425d9b61488
151487500a3c
hexbace50500

50145330432 has 144 divisors (see below), whose sum is σ = 134750127680. Its totient is φ = 16554295296.

The previous prime is 50145330419. The next prime is 50145330439. The reversal of 50145330432 is 23403354105.

It is a self number, because there is not a number n which added to its sum of digits gives 50145330432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50145330439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49697544 + ... + 49698552.

Almost surely, 250145330432 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 50145330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67375063840).

50145330432 is an abundant number, since it is smaller than the sum of its proper divisors (84604797248).

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

50145330432 is a wasteful number, since it uses less digits than its factorization.

50145330432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 50145330432 its reverse (23403354105), we get a palindrome (73548684537).

The spelling of 50145330432 in words is "fifty billion, one hundred forty-five million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 397 489 652 768 794 978 1009 1191 1304 1588 1956 2018 2382 2608 3027 3176 3912 4036 4764 5216 6054 6352 7824 8072 9528 10432 12108 12704 15648 16144 19056 20864 24216 25408 31296 32288 38112 41728 48432 50816 62592 64576 64711 76224 96864 101632 125184 129152 129422 152448 164467 193728 194133 258304 258844 304896 328934 387456 388266 400573 493401 517688 657868 774912 776532 801146 986802 1035376 1201719 1315736 1553064 1602292 1973604 2070752 2403438 2631472 3106128 3204584 3947208 4141504 4806876 5262944 6212256 6409168 7894416 8283008 9613752 10525888 12424512 12818336 15788832 16566016 19227504 21051776 24849024 25636672 31577664 38455008 42103552 49698048 51273344 63155328 65293399 76910016 102546688 126310656 130586798 153820032 195880197 261173596 307640064 391760394 522347192 783520788 1044694384 1567041576 2089388768 3134083152 4178777536 6268166304 8357555072 12536332608 16715110144 25072665216 50145330432