Search a number
-
+
152862324048 = 243271297116923
BaseRepresentation
bin1000111001011101001…
…1011111010101010000
3112121120020102122022100
42032113103133111100
510001030223332143
6154120214040400
714021033213220
oct2162723372520
9477506378270
10152862324048
1159912884615
1225761349100
131155158b425
14758199a080
153e9a02a6d3
hex23974df550

152862324048 has 120 divisors (see below), whose sum is σ = 489297942848. Its totient is φ = 43640902656.

The previous prime is 152862324037. The next prime is 152862324053. The reversal of 152862324048 is 840423268251.

152862324048 is a `hidden beast` number, since 1 + 5 + 2 + 8 + 6 + 232 + 404 + 8 = 666.

It is a super-2 number, since 2×1528623240482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152862323994 and 152862324012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248915 + ... + 1365837.

Almost surely, 2152862324048 is an apocalyptic number.

152862324048 is a gapful number since it is divisible by the number (18) 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 152862324048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244648971424).

152862324048 is an abundant number, since it is smaller than the sum of its proper divisors (336435618800).

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

152862324048 is a wasteful number, since it uses less digits than its factorization.

152862324048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118241 (or 118232 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 152862324048 in words is "one hundred fifty-two billion, eight hundred sixty-two million, three hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1297 2594 3891 5188 7782 9079 10376 11673 15564 18158 20752 23346 27237 31128 36316 46692 54474 62256 72632 81711 93384 108948 116923 145264 163422 186768 217896 233846 326844 350769 435792 467692 653688 701538 818461 935384 1052307 1307376 1403076 1636922 1870768 2104614 2455383 2806152 3273844 4209228 4910766 5612304 6547688 7366149 8418456 9821532 13095376 14732298 16836912 19643064 29464596 39286128 58929192 117858384 151649131 303298262 454947393 606596524 909894786 1061543917 1213193048 1364842179 1819789572 2123087834 2426386096 2729684358 3184631751 3639579144 4246175668 5459368716 6369263502 7279158288 8492351336 9553895253 10918737432 12738527004 16984702672 19107790506 21837474864 25477054008 38215581012 50954108016 76431162024 152862324048