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1034412829648 = 24113724293167
BaseRepresentation
bin11110000110101111100…
…11110010101111010000
310122220000000020022010021
433003113303302233100
5113421434141022043
62111111440513224
7134506466656312
oct17032763625720
93586000208107
101034412829648
11369768091180
1214858691b814
1376710966433
14380cc9897b2
151bd929b03ed
hexf0d7cf2bd0

1034412829648 has 60 divisors (see below), whose sum is σ = 2247061303872. Its totient is φ = 457479768960.

The previous prime is 1034412829643. The next prime is 1034412829649. The reversal of 1034412829648 is 8469282144301.

It is a junction number, because it is equal to n+sod(n) for n = 1034412829595 and 1034412829604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034412829643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1905640 + ... + 2387527.

Almost surely, 21034412829648 is an apocalyptic number.

It is an amenable number.

1034412829648 is an abundant number, since it is smaller than the sum of its proper divisors (1212648474224).

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

1034412829648 is a wasteful number, since it uses less digits than its factorization.

1034412829648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293260 (or 4293217 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 1034412829648 in words is "one trillion, thirty-four billion, four hundred twelve million, eight hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1369 1628 2738 3256 5476 6512 10952 15059 21904 30118 60236 120472 240944 4293167 8586334 17172668 34345336 47224837 68690672 94449674 158847179 188899348 317694358 377798696 635388716 755597392 1270777432 1747318969 2541554864 3494637938 5877345623 6989275876 11754691246 13978551752 23509382492 27957103504 47018764984 64650801853 94037529968 129301603706 258603207412 517206414824 1034412829648