Search a number
-
+
152030164640 = 255950188529
BaseRepresentation
bin1000110110010110110…
…1000011011010100000
3112112102020120120012112
42031211231003122200
54442324210232030
6153501450014452
713661310035414
oct2154555033240
9475366516175
10152030164640
1159526078972
122556a717428
131144b058703
14750325cd44
153e4be4ea95
hex2365b436a0

152030164640 has 24 divisors (see below), whose sum is σ = 359171264340. Its totient is φ = 60812065792.

The previous prime is 152030164639. The next prime is 152030164651. The reversal of 152030164640 is 46461030251.

It can be written as a sum of positive squares in 2 ways, for example, as 145340887696 + 6689276944 = 381236^2 + 81788^2 .

It is a super-2 number, since 2×1520301646402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 152030164597 and 152030164606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 475094105 + ... + 475094424.

Almost surely, 2152030164640 is an apocalyptic number.

152030164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152030164640 is an abundant number, since it is smaller than the sum of its proper divisors (207141099700).

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

152030164640 is an equidigital number, since it uses as much as digits as its factorization.

152030164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950188544 (or 950188536 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 152030164640 its reverse (46461030251), we get a palindrome (198491194891).

The spelling of 152030164640 in words is "one hundred fifty-two billion, thirty million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 950188529 1900377058 3800754116 4750942645 7601508232 9501885290 15203016464 19003770580 30406032928 38007541160 76015082320 152030164640