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46725105540 = 223517283161869
BaseRepresentation
bin101011100001000010…
…001000011110000100
311110121100112021222110
4223201002020132010
51231143111334130
633244253101020
73242614562331
oct534102103604
9143540467873
1046725105540
11188a8116403
129080187770
13453843a959
14239380b988
151337100ab0
hexae1088784

46725105540 has 96 divisors (see below), whose sum is σ = 139016545920. Its totient is φ = 11685574656.

The previous prime is 46725105529. The next prime is 46725105541. The reversal of 46725105540 is 4550152764.

It is not an unprimeable number, because it can be changed into a prime (46725105541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207726 + ... + 369594.

It is an arithmetic number, because the mean of its divisors is an integer number (1448089020).

Almost surely, 246725105540 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 46725105540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69508272960).

46725105540 is an abundant number, since it is smaller than the sum of its proper divisors (92291440380).

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

46725105540 is a wasteful number, since it uses less digits than its factorization.

46725105540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162181 (or 162179 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 46725105540 in words is "forty-six billion, seven hundred twenty-five million, one hundred five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 283 340 510 566 849 1020 1132 1415 1698 2830 3396 4245 4811 5660 8490 9622 14433 16980 19244 24055 28866 48110 57732 72165 96220 144330 161869 288660 323738 485607 647476 809345 971214 1618690 1942428 2428035 2751773 3237380 4856070 5503546 8255319 9712140 11007092 13758865 16510638 27517730 33021276 41276595 45808927 55035460 82553190 91617854 137426781 165106380 183235708 229044635 274853562 458089270 549707124 687133905 778751759 916178540 1374267810 1557503518 2336255277 2748535620 3115007036 3893758795 4672510554 7787517590 9345021108 11681276385 15575035180 23362552770 46725105540