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16374221608608 = 2532773728310099
BaseRepresentation
bin1110111001000110101110…
…1010011001011010100000
32010222100201122202012122200
43232101223222121122200
54121233401212433413
654454114043533200
73306666322140453
oct356215352313240
963870648665580
1016374221608608
1152432a524a876
121a0552582a200
1391a10c264906
144087335d549a
151d5de75e7573
hexee46ba996a0

16374221608608 has 144 divisors (see below), whose sum is σ = 46635450170400. Its totient is φ = 5449724831232.

The previous prime is 16374221608583. The next prime is 16374221608621. The reversal of 16374221608608 is 80680612247361.

It is a happy number.

16374221608608 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 4 + 2 + 21 + 6 + 0 + 8 + 608 = 666.

16374221608608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1621365543 + ... + 1621375641.

It is an arithmetic number, because the mean of its divisors is an integer number (323857292850).

Almost surely, 216374221608608 is an apocalyptic number.

16374221608608 is a gapful number since it is divisible by the number (18) 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 16374221608608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23317725085200).

16374221608608 is an abundant number, since it is smaller than the sum of its proper divisors (30261228561792).

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

16374221608608 is a wasteful number, since it uses less digits than its factorization.

16374221608608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18171 (or 18160 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 16374221608608 in words is "sixteen trillion, three hundred seventy-four billion, two hundred twenty-one million, six hundred eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 773 1546 2319 3092 4638 6184 6957 7283 9276 10099 12368 13914 14566 18552 20198 21849 24736 27828 29132 30297 37104 40396 43698 55656 58264 60594 65547 74208 80792 87396 90891 111312 116528 121188 131094 161584 174792 181782 222624 233056 242376 262188 323168 349584 363564 484752 524376 699168 727128 969504 1048752 1454256 2097504 2908512 5629759 7806527 11259518 15613054 16889277 22519036 23419581 31226108 33778554 45038072 46839162 50667831 62452216 67557108 70258743 73551017 90076144 93678324 101335662 124904432 135114216 140517486 147102034 180152288 187356648 202671324 220653051 249808864 270228432 281034972 294204068 374713296 405342648 441306102 540456864 562069944 588408136 661959153 749426592 810685296 882612204 1124139888 1176816272 1323918306 1621370592 1765224408 2248279776 2353632544 2647836612 3530448816 5295673224 7060897632 10591346448 21182692896 56854936141 113709872282 170564808423 227419744564 341129616846 454839489128 511694425269 682259233692 909678978256 1023388850538 1364518467384 1819357956512 2046777701076 2729036934768 4093555402152 5458073869536 8187110804304 16374221608608