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13425923104 = 2511671035527
BaseRepresentation
bin11001000000011111…
…10101010000100000
31021122200020120010021
430200033311100200
5204444014014404
610100124043224
7653464314646
oct144017652040
937580216107
1013425923104
11576a646820
122728393514
13135c6bb6c9
1491515b196
15538a36454
hex3203f5420

13425923104 has 96 divisors (see below), whose sum is σ = 29555076096. Its totient is φ = 5952165120.

The previous prime is 13425923057. The next prime is 13425923107. The reversal of 13425923104 is 40132952431.

It is a super-2 number, since 2×134259231042 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13425923104.

It is not an unprimeable number, because it can be changed into a prime (13425923107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2426389 + ... + 2431915.

It is an arithmetic number, because the mean of its divisors is an integer number (307865376).

Almost surely, 213425923104 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 13425923104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777538048).

13425923104 is an abundant number, since it is smaller than the sum of its proper divisors (16129152992).

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

13425923104 is a wasteful number, since it uses less digits than its factorization.

13425923104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 13425923104 in words is "thirteen billion, four hundred twenty-five million, nine hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 67 88 103 134 176 206 268 352 412 536 737 824 1072 1133 1474 1648 2144 2266 2948 3296 4532 5527 5896 6901 9064 11054 11792 13802 18128 22108 23584 27604 36256 44216 55208 60797 75911 88432 110416 121594 151822 176864 220832 243188 303644 370309 486376 569281 607288 740618 972752 1138562 1214576 1481236 1945504 2277124 2429152 2962472 4073399 4554248 5924944 6262091 8146798 9108496 11849888 12524182 16293596 18216992 25048364 32587192 38141827 50096728 65174384 76283654 100193456 130348768 152567308 200386912 305134616 419560097 610269232 839120194 1220538464 1678240388 3356480776 6712961552 13425923104