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1448034178656 = 253132629344129
BaseRepresentation
bin10101000100100101100…
…100000001011001100000
312010102121222202220011210
4111010211210001121200
5142211033222204111
63025115005510120
7206421431302152
oct25044544013140
95112558686153
101448034178656
115091205a86aa
121b477b872340
13a671a3084b0
1450129c1aad2
1527a001440a6
hex15125901660

1448034178656 has 96 divisors (see below), whose sum is σ = 4093729688160. Its totient is φ = 445521936384.

The previous prime is 1448034178627. The next prime is 1448034178681. The reversal of 1448034178656 is 6568714308441.

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

It is a junction number, because it is equal to n+sod(n) for n = 1448034178596 and 1448034178605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32791600 + ... + 32835728.

It is an arithmetic number, because the mean of its divisors is an integer number (42643017585).

Almost surely, 21448034178656 is an apocalyptic number.

1448034178656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1448034178656 is an abundant number, since it is smaller than the sum of its proper divisors (2645695509504).

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

1448034178656 is a wasteful number, since it uses less digits than its factorization.

1448034178656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70448 (or 70440 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 1448034178656 in words is "one trillion, four hundred forty-eight billion, thirty-four million, one hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 26293 44129 52586 78879 88258 105172 132387 157758 176516 210344 264774 315516 341809 353032 420688 529548 573677 631032 683618 706064 841376 1025427 1059096 1147354 1262064 1367236 1412128 1721031 2050854 2118192 2294708 2524128 2734472 3442062 4101708 4236384 4589416 5468944 6884124 8203416 9178832 10937888 13768248 16406832 18357664 27536496 32813664 55072992 1160283797 2320567594 3480851391 4641135188 6961702782 9282270376 13923405564 15083689361 18564540752 27846811128 30167378722 37129081504 45251068083 55693622256 60334757444 90502136166 111387244512 120669514888 181004272332 241339029776 362008544664 482678059552 724017089328 1448034178656