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34794545856 = 2637151171449
BaseRepresentation
bin100000011001111010…
…101010001011000000
310022210220002001211120
4200121322222023000
51032224400431411
623552343512240
72341145521440
oct403172521300
9108726061746
1034794545856
1113835683324
1268b0758680
1333867a9c95
141981108120
15d899ea106
hex819eaa2c0

34794545856 has 112 divisors (see below), whose sum is σ = 105909465600. Its totient is φ = 9875404800.

The previous prime is 34794545833. The next prime is 34794545867. The reversal of 34794545856 is 65854549743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 34794545856.

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, 117220 + ... + 288668.

Almost surely, 234794545856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34794545856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52954732800).

34794545856 is an abundant number, since it is smaller than the sum of its proper divisors (71114919744).

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

34794545856 is a wasteful number, since it uses less digits than its factorization.

34794545856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171622 (or 171612 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 60.

The spelling of 34794545856 in words is "thirty-four billion, seven hundred ninety-four million, five hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 151 168 192 224 302 336 448 453 604 672 906 1057 1208 1344 1812 2114 2416 3171 3624 4228 4832 6342 7248 8456 9664 12684 14496 16912 25368 28992 33824 50736 67648 101472 171449 202944 342898 514347 685796 1028694 1200143 1371592 2057388 2400286 2743184 3600429 4114776 4800572 5486368 7200858 8229552 9601144 10972736 14401716 16459104 19202288 25888799 28803432 32918208 38404576 51777598 57606864 76809152 77666397 103555196 115213728 155332794 181221593 207110392 230427456 310665588 362443186 414220784 543664779 621331176 724886372 828441568 1087329558 1242662352 1449772744 1656883136 2174659116 2485324704 2899545488 4349318232 4970649408 5799090976 8698636464 11598181952 17397272928 34794545856