Search a number
-
+
50540235648 = 2737155312107
BaseRepresentation
bin101111000100011011…
…101100101110000000
311211110020100222121120
4233010123230232000
51312001300020043
635115020352240
73436301625540
oct570433545600
9154406328546
1050540235648
111a4857110a1
1299659a5680
1349c59719a6
14263639b320
1514ac009983
hexbc46ecb80

50540235648 has 128 divisors (see below), whose sum is σ = 153537189120. Its totient is φ = 14429577216.

The previous prime is 50540235643. The next prime is 50540235761. The reversal of 50540235648 is 84653204505.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50540235643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4168411 + ... + 4180517.

It is an arithmetic number, because the mean of its divisors is an integer number (1199509290).

Almost surely, 250540235648 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 50540235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76768594560).

50540235648 is an abundant number, since it is smaller than the sum of its proper divisors (102996953472).

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

50540235648 is a wasteful number, since it uses less digits than its factorization.

50540235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13684 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 50540235648 in words is "fifty billion, five hundred forty million, two hundred thirty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 1553 2688 3106 4659 6212 9318 10871 12107 12424 18636 21742 24214 24848 32613 36321 37272 43484 48428 49696 65226 72642 74544 84749 86968 96856 99392 130452 145284 149088 169498 173936 193712 198784 254247 260904 290568 298176 338996 347872 387424 508494 521808 581136 596352 677992 695744 774848 1016988 1043616 1162272 1355984 1391488 1549696 2033976 2087232 2324544 2711968 4067952 4174464 4649088 5423936 8135904 10847872 16271808 18802171 32543616 37604342 56406513 75208684 112813026 131615197 150417368 225626052 263230394 300834736 394845591 451252104 526460788 601669472 789691182 902504208 1052921576 1203338944 1579382364 1805008416 2105843152 2406677888 3158764728 3610016832 4211686304 6317529456 7220033664 8423372608 12635058912 16846745216 25270117824 50540235648