Search a number
-
+
153912396500 = 22533712496661
BaseRepresentation
bin1000111101010111100…
…1001100101011010100
3112201021102022211220122
42033111321030223110
510010203033142000
6154412324451112
714056043533022
oct2172571145324
9481242284818
10153912396500
115a301598595
12259b4b49a98
131168acaa985
14764121d712
15400c2ed085
hex23d5e4cad4

153912396500 has 96 divisors (see below), whose sum is σ = 345557940000. Its totient is φ = 59844096000.

The previous prime is 153912396499. The next prime is 153912396529. The reversal of 153912396500 is 5693219351.

It can be written as a sum of positive squares in 16 ways, for example, as 41565423376 + 112346973124 = 203876^2 + 335182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23103170 + ... + 23109830.

It is an arithmetic number, because the mean of its divisors is an integer number (3599561875).

Almost surely, 2153912396500 is an apocalyptic number.

153912396500 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 153912396500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172778970000).

153912396500 is an abundant number, since it is smaller than the sum of its proper divisors (191645543500).

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

153912396500 is a wasteful number, since it uses less digits than its factorization.

153912396500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7966 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 44.

The spelling of 153912396500 in words is "one hundred fifty-three billion, nine hundred twelve million, three hundred ninety-six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1249 1850 2498 3700 4625 4996 6245 6661 9250 12490 13322 18500 24980 26644 31225 33305 46213 62450 66610 92426 124900 133220 156125 166525 184852 231065 246457 312250 333050 462130 492914 624500 666100 832625 924260 985828 1155325 1232285 1665250 2310650 2464570 3330500 4621300 4929140 5776625 6161425 8319589 11553250 12322850 16639178 23106500 24645700 30807125 33278356 41597945 61614250 83195890 123228500 166391780 207989725 307824793 415979450 615649586 831958900 1039948625 1231299172 1539123965 2079897250 3078247930 4159794500 6156495860 7695619825 15391239650 30782479300 38478099125 76956198250 153912396500