Search a number
-
+
152163770880 = 29351119472017
BaseRepresentation
bin1000110110110110101…
…0101110001000000000
3112112202112222110111210
42031231222232020000
54443112411132010
6153523021410120
713664521466112
oct2155552561000
9475675873453
10152163770880
1159594533250
12255a7409940
131146c937764
147516cbb3b2
153e58a41b20
hex236daae200

152163770880 has 640 divisors, whose sum is σ = 570769182720. Its totient is φ = 34186199040.

The previous prime is 152163770879. The next prime is 152163770881. The reversal of 152163770880 is 88077361251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (152163770879) and next prime (152163770881).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1521637708802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (152163770881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75439632 + ... + 75441648.

It is an arithmetic number, because the mean of its divisors is an integer number (891826848).

Almost surely, 2152163770880 is an apocalyptic number.

152163770880 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 152163770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285384591360).

152163770880 is an abundant number, since it is smaller than the sum of its proper divisors (418605411840).

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

152163770880 is a wasteful number, since it uses less digits than its factorization.

152163770880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 152163770880 in words is "one hundred fifty-two billion, one hundred sixty-three million, seven hundred seventy thousand, eight hundred eighty".