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117135062500 = 2256374
BaseRepresentation
bin110110100010111001…
…0110011010111100100
3102012100100021201002011
41231011302303113210
53404343034000000
6125451110524004
711314500413641
oct1550562632744
9365310251064
10117135062500
1145749764185
121a850366604
13b0797a1991
145952a5adc8
1530a86e02ba
hex1b45cb35e4

117135062500 has 105 divisors (see below), whose sum is σ = 263347156457. Its totient is φ = 45587700000.

The previous prime is 117135062459. The next prime is 117135062519. The reversal of 117135062500 is 5260531711.

The square root of 117135062500 is 342250.

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

It can be written as a sum of positive squares in 17 ways, for example, as 106846611876 + 10288450624 = 326874^2 + 101432^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 3165812482 + ... + 3165812518.

Almost surely, 2117135062500 is an apocalyptic number.

117135062500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117135062500 is the 342250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117135062500

117135062500 is an abundant number, since it is smaller than the sum of its proper divisors (146212093957).

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

117135062500 is an frugal number, since it uses more digits than its factorization.

117135062500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 117135062500 in words is "one hundred seventeen billion, one hundred thirty-five million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 625 740 925 1250 1369 1850 2500 2738 3125 3700 4625 5476 6250 6845 9250 12500 13690 15625 18500 23125 27380 31250 34225 46250 50653 62500 68450 92500 101306 115625 136900 171125 202612 231250 253265 342250 462500 506530 578125 684500 855625 1013060 1156250 1266325 1711250 1874161 2312500 2532650 3422500 3748322 4278125 5065300 6331625 7496644 8556250 9370805 12663250 17112500 18741610 21390625 25326500 31658125 37483220 42781250 46854025 63316250 85562500 93708050 126632500 158290625 187416100 234270125 316581250 468540250 633162500 791453125 937080500 1171350625 1582906250 2342701250 3165812500 4685402500 5856753125 11713506250 23427012500 29283765625 58567531250 117135062500