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155323808640 = 273257112133179
BaseRepresentation
bin1001000010101000000…
…1010011101110000000
3112211220210011000101100
42100222001103232000
510021100343334030
6155204344134400
714136032406150
oct2205201235600
9484823130340
10155323808640
115a966271400
1226129767400
13118545239a0
147736862760
154091199360
hex242a053b80

155323808640 has 2304 divisors, whose sum is σ = 758480486400. Its totient is φ = 28466380800.

The previous prime is 155323808621. The next prime is 155323808641. The reversal of 155323808640 is 46808323551.

155323808640 is a `hidden beast` number, since 1 + 5 + 532 + 38 + 0 + 86 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155323808641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1966124121 + ... + 1966124199.

It is an arithmetic number, because the mean of its divisors is an integer number (329201600).

Almost surely, 2155323808640 is an apocalyptic number.

155323808640 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 155323808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379240243200).

155323808640 is an abundant number, since it is smaller than the sum of its proper divisors (603156677760).

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

155323808640 is a wasteful number, since it uses less digits than its factorization.

155323808640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 155323808640 in words is "one hundred fifty-five billion, three hundred twenty-three million, eight hundred eight thousand, six hundred forty".