Search a number
-
+
152666541400 = 2352763332707
BaseRepresentation
bin1000111000101110100…
…0101000110101011000
3112121001121000212000011
42032023220220311120
510000130113311100
6154044541451304
714013135122302
oct2161350506530
9477047025004
10152666541400
115982231217a
1225707870b34
131151cb4c8c9
147563994972
153e87c55bba
hex238ba28d58

152666541400 has 24 divisors (see below), whose sum is σ = 354949709220. Its totient is φ = 61066616480.

The previous prime is 152666541389. The next prime is 152666541409. The reversal of 152666541400 is 4145666251.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152666541409) 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 5 ways as a sum of consecutive naturals, for example, 381666154 + ... + 381666553.

Almost surely, 2152666541400 is an apocalyptic number.

152666541400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152666541400 is an abundant number, since it is smaller than the sum of its proper divisors (202283167820).

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

152666541400 is a wasteful number, since it uses less digits than its factorization.

152666541400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763332723 (or 763332714 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 152666541400 in words is "one hundred fifty-two billion, six hundred sixty-six million, five hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 763332707 1526665414 3053330828 3816663535 6106661656 7633327070 15266654140 19083317675 30533308280 38166635350 76333270700 152666541400