Search a number
-
+
155422459946880 = 2733572379707159
BaseRepresentation
bin100011010101101100011100…
…100000111110011110000000
3202101022020112110111210211000
4203111230130200332132000
5130332420144221300010
61310320031543252000
744510621305623330
oct4325543440763600
9671266473453730
10155422459946880
114558232786a695
1215521ab744a000
1368953764907b9
142a546b6c330c0
1512e7d6522d7c0
hex8d5b1c83e780

155422459946880 has 1024 divisors, whose sum is σ = 664753029120000. Its totient is φ = 33550381522944.

The previous prime is 155422459946869. The next prime is 155422459946933. The reversal of 155422459946880 is 88649954224551.

155422459946880 is a `hidden beast` number, since 1 + 5 + 5 + 4 + 2 + 2 + 459 + 94 + 6 + 8 + 80 = 666.

It is a super-2 number, since 2×1554224599468802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 155422459946799 and 155422459946808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219430741 + ... + 220137899.

It is an arithmetic number, because the mean of its divisors is an integer number (649172880000).

Almost surely, 2155422459946880 is an apocalyptic number.

155422459946880 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 155422459946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332376514560000).

155422459946880 is an abundant number, since it is smaller than the sum of its proper divisors (509330569173120).

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

155422459946880 is a wasteful number, since it uses less digits than its factorization.

155422459946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707296 (or 707278 counting only the distinct ones).

The product of its (nonzero) digits is 995328000, while the sum is 72.

The spelling of 155422459946880 in words is "one hundred fifty-five trillion, four hundred twenty-two billion, four hundred fifty-nine million, nine hundred forty-six thousand, eight hundred eighty".