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148362194127 = 37192160912163
BaseRepresentation
bin1000101000101100010…
…0110110110011001111
3112011221121122100120210
42022023010312303033
54412321210203002
6152053500413503
713501360562010
oct2121304666317
9464847570523
10148362194127
1157a13655384
1224906247293
1310cb516a764
147276059007
153cd4e1396c
hex228b136ccf

148362194127 has 48 divisors (see below), whose sum is σ = 238768615680. Its totient is φ = 80259859584.

The previous prime is 148362194111. The next prime is 148362194129. The reversal of 148362194127 is 721491263841.

148362194127 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 148362194127 - 24 = 148362194111 is a prime.

It is a super-2 number, since 2×1483621941272 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148362194129) 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 47 ways as a sum of consecutive naturals, for example, 12191748 + ... + 12203910.

It is an arithmetic number, because the mean of its divisors is an integer number (4974346160).

Almost surely, 2148362194127 is an apocalyptic number.

148362194127 is a deficient number, since it is larger than the sum of its proper divisors (90406421553).

148362194127 is a wasteful number, since it uses less digits than its factorization.

148362194127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13820 (or 13801 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 148362194127 in words is "one hundred forty-eight billion, three hundred sixty-two million, one hundred ninety-four thousand, one hundred twenty-seven".

Divisors: 1 3 7 19 21 57 133 361 399 1083 1609 2527 4827 7581 11263 12163 30571 33789 36489 85141 91713 213997 231097 255423 580849 641991 693291 1617679 1742547 4065943 4390843 4853037 12197829 13172529 19570267 30735901 58710801 92207703 136991869 371835073 410975607 1115505219 2602845511 7064866387 7808536533 21194599161 49454064709 148362194127