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13396417470 = 23652963367
BaseRepresentation
bin11000111100111110…
…10001101110111110
31021120121201112000000
430132133101232332
5204413440324340
610053151415130
7652655445462
oct143637215676
937517645000
1013396417470
115754a237a7
12271a5244a6
13135655a757
1491127a4a2
15536158d30
hex31e7d1bbe

13396417470 has 112 divisors (see below), whose sum is σ = 37401060960. Its totient is φ = 3449138112.

The previous prime is 13396417439. The next prime is 13396417477. The reversal of 13396417470 is 7471469331.

13396417470 is a `hidden beast` number, since 133 + 9 + 6 + 41 + 7 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13396417477) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 179727 + ... + 243093.

Almost surely, 213396417470 is an apocalyptic number.

13396417470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13396417470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18700530480).

13396417470 is an abundant number, since it is smaller than the sum of its proper divisors (24004643490).

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

13396417470 is an equidigital number, since it uses as much as digits as its factorization.

13396417470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63421 (or 63406 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13396417470 in words is "thirteen billion, three hundred ninety-six million, four hundred seventeen thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 435 486 522 729 783 810 870 1215 1305 1458 1566 2349 2430 2610 3645 3915 4698 7047 7290 7830 11745 14094 21141 23490 35235 42282 63367 70470 105705 126734 190101 211410 316835 380202 570303 633670 950505 1140606 1710909 1837643 1901010 2851515 3421818 3675286 5132727 5512929 5703030 8554545 9188215 10265454 11025858 15398181 16538787 17109090 18376430 25663635 27564645 30796362 33077574 46194543 49616361 51327270 55129290 76990905 82693935 92389086 99232722 148849083 153981810 165387870 230972715 248081805 297698166 446547249 461945430 496163610 744245415 893094498 1339641747 1488490830 2232736245 2679283494 4465472490 6698208735 13396417470