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1468471986342 = 235127151157561
BaseRepresentation
bin10101010111100111110…
…000000100100010100110
312012101101100010002200000
4111113213300010202212
5143024412312030332
63042335015002130
7211044050635254
oct25274760044246
95171340102600
101468471986342
11516859176059
121b8724369346
13a862660141a
14511083095d4
15282e9540b7c
hex155e7c048a6

1468471986342 has 96 divisors (see below), whose sum is σ = 3347554689024. Its totient is φ = 482417208000.

The previous prime is 1468471986313. The next prime is 1468471986379. The reversal of 1468471986342 is 2436891748641.

1468471986342 is a `hidden beast` number, since 1 + 4 + 68 + 47 + 198 + 6 + 342 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1468471986342.

It is a congruent number.

It is an unprimeable number.

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, 9241242 + ... + 9398802.

It is an arithmetic number, because the mean of its divisors is an integer number (34870361344).

Almost surely, 21468471986342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468471986342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673777344512).

1468471986342 is an abundant number, since it is smaller than the sum of its proper divisors (1879082702682).

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

1468471986342 is a wasteful number, since it uses less digits than its factorization.

1468471986342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157856 (or 157844 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 1468471986342 in words is "one trillion, four hundred sixty-eight billion, four hundred seventy-one million, nine hundred eighty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 127 151 162 243 254 302 381 453 486 762 906 1143 1359 2286 2718 3429 4077 6858 8154 10287 12231 19177 20574 24462 30861 36693 38354 57531 61722 73386 115062 157561 172593 315122 345186 472683 517779 945366 1035558 1418049 1553337 2836098 3106674 4254147 4660011 8508294 9320022 12762441 20010247 23791711 25524882 38287323 40020494 47583422 60030741 71375133 76574646 120061482 142750266 180092223 214125399 360184446 428250798 540276669 642376197 1080553338 1284752394 1620830007 1927128591 3021547297 3241660014 3854257182 4862490021 5781385773 6043094594 9064641891 9724980042 11562771546 18129283782 27193925673 54387851346 81581777019 163163554038 244745331057 489490662114 734235993171 1468471986342