Search a number
-
+
53153125000 = 235873233
BaseRepresentation
bin110001100000001011…
…000101001010001000
312002012022222111222021
4301200023011022020
51332324200000000
640230155534224
73561120052003
oct614013051210
9162168874867
1053153125000
11205a660a588
12a374a5a374
1350210a8671
1428033d653a
1515b15d411a
hexc602c5288

53153125000 has 144 divisors (see below), whose sum is σ = 126826106940. Its totient is φ = 20880000000.

The previous prime is 53153124989. The next prime is 53153125001. The reversal of 53153125000 is 52135135.

It can be written as a sum of positive squares in 18 ways, for example, as 31479985476 + 21673139524 = 177426^2 + 147218^2 .

It is a sliding number, since 53153125000 = 1953125000 + 51200000000 and 1/1953125000 + 1/51200000000 = 0.00000000053153125000.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53153125001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 228124884 + ... + 228125116.

Almost surely, 253153125000 is an apocalyptic number.

53153125000 is a gapful number since it is divisible by the number (50) 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 53153125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63413053470).

53153125000 is an abundant number, since it is smaller than the sum of its proper divisors (73672981940).

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

53153125000 is an frugal number, since it uses more digits than its factorization.

53153125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 53153125000 in words is "fifty-three billion, one hundred fifty-three million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 125 146 200 233 250 292 365 466 500 584 625 730 932 1000 1165 1250 1460 1825 1864 2330 2500 2920 3125 3650 4660 5000 5825 6250 7300 9125 9320 11650 12500 14600 15625 17009 18250 23300 25000 29125 31250 34018 36500 45625 46600 58250 62500 68036 73000 78125 85045 91250 116500 125000 136072 145625 156250 170090 182500 228125 233000 291250 312500 340180 365000 390625 425225 456250 582500 625000 680360 728125 781250 850450 912500 1140625 1165000 1456250 1562500 1700900 1825000 2126125 2281250 2912500 3125000 3401800 3640625 4252250 4562500 5703125 5825000 7281250 8504500 9125000 10630625 11406250 14562500 17009000 18203125 21261250 22812500 28515625 29125000 36406250 42522500 45625000 53153125 57031250 72812500 85045000 91015625 106306250 114062500 145625000 182031250 212612500 228125000 265765625 364062500 425225000 531531250 728125000 1063062500 1328828125 2126125000 2657656250 5315312500 6644140625 10630625000 13288281250 26576562500 53153125000