Search a number
-
+
46052156837088 = 2532159903322351
BaseRepresentation
bin10100111100010010110100…
…11100110000110011100000
320001001112122222202102002200
422132021122130300303200
522014004304122241323
6241540022505213200
712462105243256353
oct1236113234606340
9201045588672080
1046052156837088
1113745678a59166
1251b9272191200
131c9091349552c
14b52d1723c29a
1554cdc7a8c443
hex29e25a730ce0

46052156837088 has 36 divisors (see below), whose sum is σ = 130960821006288. Its totient is φ = 15350718945600.

The previous prime is 46052156837053. The next prime is 46052156837143. The reversal of 46052156837088 is 88073865125064.

46052156837088 is a `hidden beast` number, since 4 + 60 + 5 + 2 + 1 + 568 + 3 + 7 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×460521568370882 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79951660888 + ... + 79951661463.

It is an arithmetic number, because the mean of its divisors is an integer number (3637800583508).

Almost surely, 246052156837088 is an apocalyptic number.

46052156837088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

46052156837088 is an abundant number, since it is smaller than the sum of its proper divisors (84908664169200).

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

46052156837088 is a wasteful number, since it uses less digits than its factorization.

46052156837088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159903322367 (or 159903322356 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 46052156837088 in words is "forty-six trillion, fifty-two billion, one hundred fifty-six million, eight hundred thirty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 159903322351 319806644702 479709967053 639613289404 959419934106 1279226578808 1439129901159 1918839868212 2558453157616 2878259802318 3837679736424 5116906315232 5756519604636 7675359472848 11513039209272 15350718945696 23026078418544 46052156837088