Search a number
-
+
155914427155200 = 28352721513113529
BaseRepresentation
bin100011011100110110101000…
…000010111100001100000000
3202110001021101111121102102120
4203130312220002330030000
5130414000221322431300
61311334033220044240
744561305565116200
oct4334665002741400
9673037344542376
10155914427155200
1145751a344a287a
12155a1316233680
1368cc88a3568ac
142a70427294400
151305a5aa3a3a0
hex8dcda80bc300

155914427155200 has 1296 divisors, whose sum is σ = 604630886146560. Its totient is φ = 35277742080000.

The previous prime is 155914427155189. The next prime is 155914427155229. The reversal of 155914427155200 is 2551724419551.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44180907036 + ... + 44180910564.

Almost surely, 2155914427155200 is an apocalyptic number.

155914427155200 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 155914427155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302315443073280).

155914427155200 is an abundant number, since it is smaller than the sum of its proper divisors (448716458991360).

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

155914427155200 is a wasteful number, since it uses less digits than its factorization.

155914427155200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 51.

The spelling of 155914427155200 in words is "one hundred fifty-five trillion, nine hundred fourteen billion, four hundred twenty-seven million, one hundred fifty-five thousand, two hundred".