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155372256000 = 283553132953
BaseRepresentation
bin1001000010110011101…
…0000111101100000000
3112212001011022101200000
42100230322013230000
510021200244143000
6155213234400000
714140161246123
oct2205472075400
9485034271600
10155372256000
115a990651645
1226141a30000
1311861587470
14773d0743ba
154095569000
hex242ce87b00

155372256000 has 1728 divisors, whose sum is σ = 658097032320. Its totient is φ = 36229939200.

The previous prime is 155372255999. The next prime is 155372256023. The reversal of 155372256000 is 652273551.

155372256000 is a `hidden beast` number, since 15 + 5 + 37 + 2 + 2 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2931551974 + ... + 2931552026.

It is an arithmetic number, because the mean of its divisors is an integer number (380843190).

Almost surely, 2155372256000 is an apocalyptic number.

155372256000 is a gapful number since it is divisible by the number (10) 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 155372256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329048516160).

155372256000 is an abundant number, since it is smaller than the sum of its proper divisors (502724776320).

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

155372256000 is an equidigital number, since it uses as much as digits as its factorization.

155372256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 155372256000 in words is "one hundred fifty-five billion, three hundred seventy-two million, two hundred fifty-six thousand".