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13473797472 = 253322768699
BaseRepresentation
bin11001000110001100…
…11101010101100000
31021210000022211102000
430203012131111200
5210043243004342
610104554124000
7654615250242
oct144306352540
937700284360
1013473797472
115794675513
122740420600
1313695b1435
1491b660092
1553cd4144c
hex32319d560

13473797472 has 96 divisors (see below), whose sum is σ = 39472272000. Its totient is φ = 4471415424.

The previous prime is 13473797459. The next prime is 13473797473. The reversal of 13473797472 is 27479737431.

13473797472 is a `hidden beast` number, since 1 + 34 + 73 + 79 + 7 + 472 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13473797473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161779 + ... + 230477.

It is an arithmetic number, because the mean of its divisors is an integer number (411169500).

Almost surely, 213473797472 is an apocalyptic number.

13473797472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13473797472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19736136000).

13473797472 is an abundant number, since it is smaller than the sum of its proper divisors (25998474528).

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

13473797472 is a wasteful number, since it uses less digits than its factorization.

13473797472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68945 (or 68931 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 13473797472 in words is "thirteen billion, four hundred seventy-three million, seven hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 227 288 432 454 681 864 908 1362 1816 2043 2724 3632 4086 5448 6129 7264 8172 10896 12258 16344 21792 24516 32688 49032 65376 68699 98064 137398 196128 206097 274796 412194 549592 618291 824388 1099184 1236582 1648776 1854873 2198368 2473164 3297552 3709746 4946328 6595104 7419492 9892656 14838984 15594673 19785312 29677968 31189346 46784019 59355936 62378692 93568038 124757384 140352057 187136076 249514768 280704114 374272152 421056171 499029536 561408228 748544304 842112342 1122816456 1497088608 1684224684 2245632912 3368449368 4491265824 6736898736 13473797472