Search a number
-
+
156380209920 = 28325113733353
BaseRepresentation
bin1001000110100011111…
…1001010001100000000
3112221122101221202111200
42101220333022030000
510030231313204140
6155501242341200
714204150565234
oct2215077121400
9487571852450
10156380209920
1160358608310
12263834ba800
131199234aabc
1477d6c925c4
154103cbc030
hex2468fca300

156380209920 has 432 divisors, whose sum is σ = 606217221792. Its totient is φ = 36884643840.

The previous prime is 156380209907. The next prime is 156380210027. The reversal of 156380209920 is 29902083651.

156380209920 is a `hidden beast` number, since 1 + 5 + 638 + 0 + 2 + 0 + 9 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4671964 + ... + 4705316.

It is an arithmetic number, because the mean of its divisors is an integer number (1403280606).

Almost surely, 2156380209920 is an apocalyptic number.

156380209920 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 156380209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303108610896).

156380209920 is an abundant number, since it is smaller than the sum of its proper divisors (449837011872).

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

156380209920 is a wasteful number, since it uses less digits than its factorization.

156380209920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33428 (or 33411 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 156380209920 in words is "one hundred fifty-six billion, three hundred eighty million, two hundred nine thousand, nine hundred twenty".