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13996628472 = 23323376071129
BaseRepresentation
bin11010000100100001…
…11001100111111000
31100010110010101201010
431002100321213320
5212131114102342
610232512153520
71003564244001
oct150220714770
940113111633
1013996628472
115a32806152
1228675388a0
1314209cb3a8
1496ac7a1a8
1556dbb929c
hex3424399f8

13996628472 has 128 divisors (see below), whose sum is σ = 37594828800. Its totient is φ = 4331086848.

The previous prime is 13996628467. The next prime is 13996628489. The reversal of 13996628472 is 27482669931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12396804 + ... + 12397932.

It is an arithmetic number, because the mean of its divisors is an integer number (293709600).

Almost surely, 213996628472 is an apocalyptic number.

13996628472 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 13996628472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18797414400).

13996628472 is an abundant number, since it is smaller than the sum of its proper divisors (23598200328).

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

13996628472 is a wasteful number, since it uses less digits than its factorization.

13996628472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1801 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 57.

The spelling of 13996628472 in words is "thirteen billion, nine hundred ninety-six million, six hundred twenty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 607 851 888 1129 1214 1702 1821 2258 2428 2553 3387 3404 3642 4516 4856 5106 6774 6808 7284 9032 10212 13548 13961 14568 20424 22459 25967 27096 27922 41773 41883 44918 51934 55844 67377 77901 83546 83766 89836 103868 111688 125319 134754 155802 167092 167532 179672 207736 250638 269508 311604 334184 335064 501276 516557 539016 623208 685303 960779 1002552 1033114 1370606 1549671 1921558 2055909 2066228 2741212 2882337 3099342 3843116 4111818 4132456 5482424 5764674 6198684 7686232 8223636 11529348 12397368 15761969 16447272 23058696 25356211 31523938 47285907 50712422 63047876 76068633 94571814 101424844 126095752 152137266 189143628 202849688 304274532 378287256 583192853 608549064 1166385706 1749578559 2332771412 3499157118 4665542824 6998314236 13996628472