Search a number
-
+
147264062500 = 22583072
BaseRepresentation
bin1000100100100110011…
…1110100010000100100
3112002010002022111012001
42021021213310100210
54403044100000000
6151352511535044
713432224610042
oct2111147642044
9462102274161
10147264062500
11574aa7a6885
122465a52a484
1310b6b7c2329
1471b0285392
153c6d7eb46a
hex22499f4424

147264062500 has 81 divisors (see below), whose sum is σ = 323192705619. Its totient is φ = 58713750000.

The previous prime is 147264062497. The next prime is 147264062507. The reversal of 147264062500 is 5260462741.

The square root of 147264062500 is 383750.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 104702722084 + 42561340416 = 323578^2 + 206304^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 147264062500.

It is not an unprimeable number, because it can be changed into a prime (147264062507) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 479687347 + ... + 479687653.

Almost surely, 2147264062500 is an apocalyptic number.

147264062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

147264062500 is the 383750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147264062500

147264062500 is an abundant number, since it is smaller than the sum of its proper divisors (175928643119).

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

147264062500 is an frugal number, since it uses more digits than its factorization.

147264062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 147264062500 in words is "one hundred forty-seven billion, two hundred sixty-four million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 307 500 614 625 1228 1250 1535 2500 3070 3125 6140 6250 7675 12500 15350 15625 30700 31250 38375 62500 76750 78125 94249 153500 156250 188498 191875 312500 376996 383750 390625 471245 767500 781250 942490 959375 1562500 1884980 1918750 2356225 3837500 4712450 4796875 9424900 9593750 11781125 19187500 23562250 23984375 47124500 47968750 58905625 95937500 117811250 119921875 235622500 239843750 294528125 479687500 589056250 1178112500 1472640625 2945281250 5890562500 7363203125 14726406250 29452812500 36816015625 73632031250 147264062500