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13642226304 = 27375075233
BaseRepresentation
bin11001011010010001…
…11101101010000000
31022012202020220022220
430231020331222000
5210414402220204
610133412131040
7662032003350
oct145510755200
938182226286
1013642226304
1158707545a3
122788906a80
131395463575
14935b84b60
1554ca111d9
hex32d23da80

13642226304 has 64 divisors (see below), whose sum is σ = 41413909440. Its totient is φ = 3897778176.

The previous prime is 13642226293. The next prime is 13642226321. The reversal of 13642226304 is 40362224631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×136422263042 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2534929 + ... + 2540304.

It is an arithmetic number, because the mean of its divisors is an integer number (647092335).

Almost surely, 213642226304 is an apocalyptic number.

13642226304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13642226304 is an abundant number, since it is smaller than the sum of its proper divisors (27771683136).

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

13642226304 is an equidigital number, since it uses as much as digits as its factorization.

13642226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075257 (or 5075245 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The spelling of 13642226304 in words is "thirteen billion, six hundred forty-two million, two hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5075233 10150466 15225699 20300932 30451398 35526631 40601864 60902796 71053262 81203728 106579893 121805592 142106524 162407456 213159786 243611184 284213048 324814912 426319572 487222368 568426096 649629824 852639144 974444736 1136852192 1705278288 1948889472 2273704384 3410556576 4547408768 6821113152 13642226304