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155273103552 = 2637319314003
BaseRepresentation
bin1001000010011011111…
…1111000100011000000
3112211210020201221002010
42100212333320203000
510020444403303202
6155155333252520
714134545414000
oct2204677704300
9484706657063
10155273103552
115a93a689976
1226114794140
1311846b7c688
14772dc24000
15408b9d076c
hex2426ff88c0

155273103552 has 448 divisors, whose sum is σ = 520712192000. Its totient is φ = 40662881280.

The previous prime is 155273103529. The next prime is 155273103553. The reversal of 155273103552 is 255301372551.

155273103552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 155273103552.

It is not an unprimeable number, because it can be changed into a prime (155273103553) 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 63 ways as a sum of consecutive naturals, for example, 38787183 + ... + 38791185.

It is an arithmetic number, because the mean of its divisors is an integer number (1162304000).

Almost surely, 2155273103552 is an apocalyptic number.

155273103552 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 155273103552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260356096000).

155273103552 is an abundant number, since it is smaller than the sum of its proper divisors (365439088448).

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

155273103552 is a wasteful number, since it uses less digits than its factorization.

155273103552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The spelling of 155273103552 in words is "one hundred fifty-five billion, two hundred seventy-three million, one hundred three thousand, five hundred fifty-two".