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155408542800 = 243527314631289
BaseRepresentation
bin1001000010111100010…
…0100010110001010000
3112212010200120221210120
42100233010202301100
510021234041332200
6155221012230240
714141111550420
oct2205704426120
9485120527716
10155408542800
115a9aa086435
122615200b380
1311868c50b44
147743bdc480
1540988359a0
hex242f122c50

155408542800 has 480 divisors, whose sum is σ = 589021347840. Its totient is φ = 34275225600.

The previous prime is 155408542777. The next prime is 155408542853. The reversal of 155408542800 is 8245804551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120564556 + ... + 120565844.

It is an arithmetic number, because the mean of its divisors is an integer number (1227127808).

Almost surely, 2155408542800 is an apocalyptic number.

155408542800 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 155408542800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294510673920).

155408542800 is an abundant number, since it is smaller than the sum of its proper divisors (433612805040).

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

155408542800 is a wasteful number, since it uses less digits than its factorization.

155408542800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The spelling of 155408542800 in words is "one hundred fifty-five billion, four hundred eight million, five hundred forty-two thousand, eight hundred".