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1486681413984 = 253313132361237
BaseRepresentation
bin10101101000100101000…
…111100001100101100000
312021010101101100212102000
4111220211013201211200
5143324210420221414
63054545542124000
7212260231341504
oct25504507414540
95233341325360
101486681413984
1152355299a608
12200166720600
13aa26903a190
1451d54890304
1528a12eb6b09
hex15a251e1960

1486681413984 has 96 divisors (see below), whose sum is σ = 4669704476640. Its totient is φ = 457440431616.

The previous prime is 1486681413967. The next prime is 1486681413989. The reversal of 1486681413984 is 4893141866841.

1486681413984 is a `hidden beast` number, since 1 + 4 + 8 + 66 + 81 + 413 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1486681413989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66169387 + ... + 66191850.

It is an arithmetic number, because the mean of its divisors is an integer number (48642754965).

Almost surely, 21486681413984 is an apocalyptic number.

It is an amenable number.

1486681413984 is an abundant number, since it is smaller than the sum of its proper divisors (3183023062656).

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

1486681413984 is a wasteful number, since it uses less digits than its factorization.

1486681413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132361269 (or 132361255 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 1486681413984 in words is "one trillion, four hundred eighty-six billion, six hundred eighty-one million, four hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 132361237 264722474 397083711 529444948 794167422 1058889896 1191251133 1588334844 1720696081 2117779792 2382502266 3176669688 3441392162 3573753399 4235559584 4765004532 5162088243 6353339376 6882784324 7147506798 9530009064 10324176486 12706678752 13765568648 14295013596 15486264729 19060018128 20648352972 27531137296 28590027192 30972529458 38120036256 41296705944 46458794187 55062274592 57180054384 61945058916 82593411888 92917588374 114360108768 123890117832 165186823776 185835176748 247780235664 371670353496 495560471328 743340706992 1486681413984