Search a number
-
+
2151326312625 = 3537417140551
BaseRepresentation
bin11111010011100101000…
…010100110100010110001
321121122221122000000201110
4133103211002212202301
5240221404014001000
64324150005023533
7311266604640000
oct37234502464261
97548848000643
102151326312625
1175a410689276
122a8b369b4ba9
13127b3b8322a9
14761a6450c37
153ae63248850
hex1f4e50a68b1

2151326312625 has 160 divisors (see below), whose sum is σ = 4421882859264. Its totient is φ = 925606080000.

The previous prime is 2151326312581. The next prime is 2151326312633. The reversal of 2151326312625 is 5262136231512.

It is not a de Polignac number, because 2151326312625 - 216 = 2151326247089 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15236100 + ... + 15376650.

Almost surely, 22151326312625 is an apocalyptic number.

2151326312625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2151326312625 is an abundant number, since it is smaller than the sum of its proper divisors (2270556546639).

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

2151326312625 is an equidigital number, since it uses as much as digits as its factorization.

2151326312625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140614 (or 140583 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The spelling of 2151326312625 in words is "two trillion, one hundred fifty-one billion, three hundred twenty-six million, three hundred twelve thousand, six hundred twenty-five".

Divisors: 1 3 5 7 15 17 21 25 35 49 51 75 85 105 119 125 147 175 245 255 343 357 375 425 525 595 735 833 875 1029 1225 1275 1715 1785 2125 2401 2499 2625 2975 3675 4165 5145 5831 6125 6375 7203 8575 8925 12005 12495 14875 17493 18375 20825 25725 29155 36015 40817 42875 44625 60025 62475 87465 104125 122451 128625 140551 145775 180075 204085 300125 312375 421653 437325 612255 702755 728875 900375 983857 1020425 2108265 2186625 2389367 2951571 3061275 3513775 4919285 5102125 6886999 7168101 10541325 11946835 14757855 15306375 16725569 17568875 20660997 24596425 34434995 35840505 48208993 50176707 52706625 59734175 73789275 83627845 103304985 117078983 122982125 144626979 172174975 179202525 241044965 250883535 298670875 337462951 351236949 368946375 418139225 516524925 585394915 723134895 819552881 860874875 896012625 1012388853 1205224825 1254417675 1687314755 1756184745 2090696125 2458658643 2582624625 2926974575 3615674475 4097764405 5061944265 5736870167 6026124125 6272088375 8436573775 8780923725 12293293215 14634872875 17210610501 18078372375 20488822025 25309721325 28684350835 42182868875 43904618625 61466466075 86053052505 102444110125 126548606625 143421754175 307332330375 430265262525 717108770875 2151326312625