Search a number
-
+
159970228750080 = 28365732331701
BaseRepresentation
bin100100010111110111111000…
…101010001100011100000000
3202222102000010021211212000000
4210113313320222030130000
5131431423012030000310
61324121150352000000
745460316252631000
oct4427677052143400
9688360107755000
10159970228750080
1146a75aa1794601
1215b37375b30000
136b35187b41708
142b70859648000
1513762d58814c0
hex917df8a8c700

159970228750080 has 4032 divisors, whose sum is σ = 722687654707200. Its totient is φ = 33798352896000.

The previous prime is 159970228750069. The next prime is 159970228750109. The reversal of 159970228750080 is 80057822079951.

159970228750080 is a `hidden beast` number, since 1 + 59 + 9 + 70 + 2 + 2 + 8 + 7 + 500 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 228202893730 + ... + 228202894430.

It is an arithmetic number, because the mean of its divisors is an integer number (179238009600).

Almost surely, 2159970228750080 is an apocalyptic number.

159970228750080 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 159970228750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361343827353600).

159970228750080 is an abundant number, since it is smaller than the sum of its proper divisors (562717425957120).

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

159970228750080 is an frugal number, since it uses more digits than its factorization.

159970228750080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 159970228750080 in words is "one hundred fifty-nine trillion, nine hundred seventy billion, two hundred twenty-eight million, seven hundred fifty thousand, eighty".