Search a number
-
+
152767163125820 = 22574665910230049
BaseRepresentation
bin100010101111000011100000…
…011111011101000000111100
3202000220101202021002100020002
4202233003200133131000330
5130010414122230011240
61300524133233213432
744115030500220425
oct4257034037350074
9660811667070202
10152767163125820
114474920aa531a1
1215173371a01278
136731b60046789
1429a1d8212464c
15129dc57a04d15
hex8af0e07dd03c

152767163125820 has 24 divisors (see below), whose sum is σ = 320811503586000. Its totient is φ = 61106777436672.

The previous prime is 152767163125817. The next prime is 152767163125853. The reversal of 152767163125820 is 28521361767251.

It is a super-2 number, since 2×1527671631258202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9818156 + ... + 20048204.

It is an arithmetic number, because the mean of its divisors is an integer number (13367145982750).

Almost surely, 2152767163125820 is an apocalyptic number.

152767163125820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152767163125820 is an abundant number, since it is smaller than the sum of its proper divisors (168044340460180).

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

152767163125820 is a wasteful number, since it uses less digits than its factorization.

152767163125820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10976717 (or 10976715 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 152767163125820 in words is "one hundred fifty-two trillion, seven hundred sixty-seven billion, one hundred sixty-three million, one hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 746659 1493318 2986636 3733295 7466590 10230049 14933180 20460098 40920196 51150245 102300490 204600980 7638358156291 15276716312582 30553432625164 38191790781455 76383581562910 152767163125820