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48161101632399 = 3272141629771091
BaseRepresentation
bin10101111001101011000010…
…10110101101001110001111
320022112011012222110021201200
422330311201112231032033
522303032414004214044
6250232523223240543
713100344665251400
oct1274654126551617
9208464188407650
1048161101632399
1114389010350168
125499b3b5a9153
1320b475972b212
14bc701cab39a7
15587baa1c9369
hex2bcd615ad38f

48161101632399 has 36 divisors (see below), whose sum is σ = 80924432130360. Its totient is φ = 27520399499040.

The previous prime is 48161101632379. The next prime is 48161101632419. The reversal of 48161101632399 is 99323610116184.

48161101632399 is a `hidden beast` number, since 4 + 8 + 1 + 611 + 0 + 16 + 3 + 2 + 3 + 9 + 9 = 666.

It is a Cunningham number, because it is equal to 69398202-1.

It is an interprime number because it is at equal distance from previous prime (48161101632379) and next prime (48161101632419).

It is not a de Polignac number, because 48161101632399 - 211 = 48161101630351 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48161101632379) 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, 62072844 + ... + 62843934.

It is an arithmetic number, because the mean of its divisors is an integer number (2247900892510).

Almost surely, 248161101632399 is an apocalyptic number.

48161101632399 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48161101632399 is a deficient number, since it is larger than the sum of its proper divisors (32763330497961).

48161101632399 is a wasteful number, since it uses less digits than its factorization.

48161101632399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912740 (or 912730 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 48161101632399 in words is "forty-eight trillion, one hundred sixty-one billion, one hundred one million, six hundred thirty-two thousand, three hundred ninety-nine".

Divisors: 1 3 7 9 21 49 63 147 441 141629 424887 771091 991403 1274661 2313273 2974209 5397637 6939819 6939821 8922627 16192911 20819463 37783459 48578733 62458389 113350377 340051131 109208847239 327626541717 764461930673 982879625151 2293385792019 5351233514711 6880157376057 16053700544133 48161101632399