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155220318792 = 233672112672
BaseRepresentation
bin1001000010001111011…
…0100001101001001000
3112211122120102012000000
42100203312201221020
510020342400200132
6155150210043000
714133334640400
oct2204366415110
9484576365000
10155220318792
115a912906a00
12260bab79460
1311838c5a8a6
147726c03800
15408705587c
hex2423da1a48

155220318792 has 756 divisors, whose sum is σ = 566391785715. Its totient is φ = 39715220160.

The previous prime is 155220318769. The next prime is 155220318793. The reversal of 155220318792 is 297813022551.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

155220318792 is a `hidden beast` number, since 1 + 5 + 522 + 0 + 31 + 8 + 7 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77610159396 + 77610159396 = 278586^2 + 278586^2 .

It is a tau number, because it is divible by the number of its divisors (756).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=278586.

It is not an unprimeable number, because it can be changed into a prime (155220318793) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 2316721143 + ... + 2316721209.

Almost surely, 2155220318792 is an apocalyptic number.

155220318792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155220318792

155220318792 is an abundant number, since it is smaller than the sum of its proper divisors (411171466923).

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

155220318792 is an equidigital number, since it uses as much as digits as its factorization.

155220318792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 155220318792 in words is "one hundred fifty-five billion, two hundred twenty million, three hundred eighteen thousand, seven hundred ninety-two".