Search a number
-
+
157098137133 = 37193127146867
BaseRepresentation
bin1001001001001111000…
…1110101011000101101
3120000111102212020111110
42102103301311120231
510033214110342013
6200100410142233
714231016063420
oct2222361653055
9500442766443
10157098137133
1160696891693
1226543a21979
1311a77cc5cc2
1478643759b7
154146d312c3
hex2493c7562d

157098137133 has 64 divisors (see below), whose sum is σ = 261081006080. Its totient is φ = 81996753600.

The previous prime is 157098137069. The next prime is 157098137143. The reversal of 157098137133 is 331731890751.

157098137133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157098137133 - 26 = 157098137069 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 (157098137143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3328566 + ... + 3375432.

It is an arithmetic number, because the mean of its divisors is an integer number (4079390720).

Almost surely, 2157098137133 is an apocalyptic number.

It is an amenable number.

157098137133 is a deficient number, since it is larger than the sum of its proper divisors (103982868947).

157098137133 is a wasteful number, since it uses less digits than its factorization.

157098137133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47198.

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 157098137133 in words is "one hundred fifty-seven billion, ninety-eight million, one hundred thirty-seven thousand, one hundred thirty-three".

Divisors: 1 3 7 19 21 31 57 93 133 217 271 399 589 651 813 1767 1897 4123 5149 5691 8401 12369 15447 25203 36043 46867 58807 108129 140601 159619 176421 328069 478857 890473 984207 1117333 1452877 2671419 3351999 4358631 6233311 10170139 12700957 18699933 27604663 30510417 38102871 82813989 88906699 193232641 241318183 266720097 393729667 579697923 723954549 1181189001 1689227281 2756107669 5067681843 7480863673 8268323007 22442591019 52366045711 157098137133