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13821469632 = 263226989203
BaseRepresentation
bin11001101111101001…
…01110001111000000
31022200020112101221200
430313310232033000
5211301244012012
610203254021200
7666336360555
oct146764561700
938606471850
1013821469632
11595294a783
122818947800
1313c3630bc9
149518c2a2c
1555d61a3dc
hex337d2e3c0

13821469632 has 84 divisors (see below), whose sum is σ = 39764467080. Its totient is φ = 4589978112.

The previous prime is 13821469601. The next prime is 13821469639. The reversal of 13821469632 is 23696412831.

13821469632 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 1 + 4 + 6 + 9 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13821469639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110343 + ... + 199545.

Almost surely, 213821469632 is an apocalyptic number.

13821469632 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 13821469632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19882233540).

13821469632 is an abundant number, since it is smaller than the sum of its proper divisors (25942997448).

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

13821469632 is a wasteful number, since it uses less digits than its factorization.

13821469632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89490 (or 89477 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 13821469632 in words is "thirteen billion, eight hundred twenty-one million, four hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 269 288 538 576 807 1076 1614 2152 2421 3228 4304 4842 6456 8608 9684 12912 17216 19368 25824 38736 51648 77472 89203 154944 178406 267609 356812 535218 713624 802827 1070436 1427248 1605654 2140872 2854496 3211308 4281744 5708992 6422616 8563488 12845232 17126976 23995607 25690464 47991214 51380928 71986821 95982428 143973642 191964856 215960463 287947284 383929712 431920926 575894568 767859424 863841852 1151789136 1535718848 1727683704 2303578272 3455367408 4607156544 6910734816 13821469632