Search a number
-
+
50241219552 = 25321736727961
BaseRepresentation
bin101110110010100111…
…000010101111100000
311210200101201101122100
4232302213002233200
51310343223011202
635025215410400
73426011214516
oct566247025740
9153611641570
1050241219552
111a341949957
1298a1823a00
134978a299a4
1426087a24b6
151490b4241c
hexbb29c2be0

50241219552 has 144 divisors (see below), whose sum is σ = 151695415872. Its totient is φ = 15718440960.

The previous prime is 50241219551. The next prime is 50241219643. The reversal of 50241219552 is 25591214205.

50241219552 is a `hidden beast` number, since 5 + 0 + 2 + 412 + 195 + 52 = 666.

50241219552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50241219551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1782852 + ... + 1810812.

It is an arithmetic number, because the mean of its divisors is an integer number (1053440388).

Almost surely, 250241219552 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 50241219552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75847707936).

50241219552 is an abundant number, since it is smaller than the sum of its proper divisors (101454196320).

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

50241219552 is a wasteful number, since it uses less digits than its factorization.

50241219552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28361 (or 28350 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 50241219552 in words is "fifty billion, two hundred forty-one million, two hundred nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 367 408 544 612 734 816 1101 1224 1468 1632 2202 2448 2936 3303 4404 4896 5872 6239 6606 8808 11744 12478 13212 17616 18717 24956 26424 27961 35232 37434 49912 52848 55922 56151 74868 83883 99824 105696 111844 112302 149736 167766 199648 223688 224604 251649 299472 335532 447376 449208 475337 503298 598944 671064 894752 898416 950674 1006596 1342128 1426011 1796832 1901348 2013192 2684256 2852022 3802696 4026384 4278033 5704044 7605392 8052768 8556066 10261687 11408088 15210784 17112132 20523374 22816176 30785061 34224264 41046748 45632352 61570122 68448528 82093496 92355183 123140244 136897056 164186992 174448679 184710366 246280488 328373984 348897358 369420732 492560976 523346037 697794716 738841464 985121952 1046692074 1395589432 1477682928 1570038111 2093384148 2791178864 2955365856 3140076222 4186768296 5582357728 6280152444 8373536592 12560304888 16747073184 25120609776 50241219552