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12728220401840 = 245211754041493
BaseRepresentation
bin1011100100111000010100…
…0011100100000010110000
31200001210202120020110011112
42321032011003210002300
53132014343410324330
643023132544332452
72452404111212036
oct271160503440260
950053676213145
1012728220401840
11406800a658049
121516993314128
1371435c625b48
14320098c46556
15171154778795
hexb93850e40b0

12728220401840 has 40 divisors (see below), whose sum is σ = 29733364191408. Its totient is φ = 5067158826240.

The previous prime is 12728220401837. The next prime is 12728220401857. The reversal of 12728220401840 is 4810402282721.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×127282204018402 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 377003867 + ... + 377037626.

Almost surely, 212728220401840 is an apocalyptic number.

12728220401840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728220401840 is an abundant number, since it is smaller than the sum of its proper divisors (17005143789568).

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

12728220401840 is a wasteful number, since it uses less digits than its factorization.

12728220401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754041717 (or 754041711 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 41.

The spelling of 12728220401840 in words is "twelve trillion, seven hundred twenty-eight billion, two hundred twenty million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1055 1688 2110 3376 4220 8440 16880 754041493 1508082986 3016165972 3770207465 6032331944 7540414930 12064663888 15080829860 30161659720 60323319440 159102755023 318205510046 636411020092 795513775115 1272822040184 1591027550230 2545644080368 3182055100460 6364110200920 12728220401840