Search a number
-
+
157150788093 = 33132371188833
BaseRepresentation
bin1001001001011011101…
…0101011100111111101
3120000122002221012001000
42102112322223213331
510033321100204333
6200105530440513
714232225441645
oct2222672534775
9500562835030
10157150788093
1160713583082
1226559593139
1311a85b9bc10
14786b35d525
15414b781713
hex2496eab9fd

157150788093 has 32 divisors (see below), whose sum is σ = 250831978880. Its totient is φ = 96666877440.

The previous prime is 157150788079. The next prime is 157150788143. The reversal of 157150788093 is 390887051751.

It is a happy number.

157150788093 is a `hidden beast` number, since 1 + 57 + 1 + 507 + 8 + 80 + 9 + 3 = 666.

It is not a de Polignac number, because 157150788093 - 220 = 157149739517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157150788043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 737805 + ... + 926637.

It is an arithmetic number, because the mean of its divisors is an integer number (7838499340).

Almost surely, 2157150788093 is an apocalyptic number.

157150788093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157150788093 is a deficient number, since it is larger than the sum of its proper divisors (93681190787).

157150788093 is a wasteful number, since it uses less digits than its factorization.

157150788093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191226 (or 191220 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 54.

The spelling of 157150788093 in words is "one hundred fifty-seven billion, one hundred fifty million, seven hundred eighty-eight thousand, ninety-three".

Divisors: 1 3 9 13 27 39 117 351 2371 7113 21339 30823 64017 92469 188833 277407 566499 832221 1699497 2454829 5098491 7364487 22093461 66280383 447723043 1343169129 4029507387 5820399559 12088522161 17461198677 52383596031 157150788093