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164478050016 = 25371032376301
BaseRepresentation
bin1001100100101110100…
…1111101111011100000
3120201112202110122210020
42121023221331323200
510143322340100031
6203320555233440
714611630233420
oct2311351757340
9521482418706
10164478050016
1163833631445
1227a63448880
1312682c29567
147d64548480
154429b92096
hex264ba7dee0

164478050016 has 96 divisors (see below), whose sum is σ = 498224982528. Its totient is φ = 46537459200.

The previous prime is 164478049979. The next prime is 164478050027. The reversal of 164478050016 is 610050874461.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 164478050016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1118935 + ... + 1257366.

It is an arithmetic number, because the mean of its divisors is an integer number (5189843568).

Almost surely, 2164478050016 is an apocalyptic number.

164478050016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164478050016 is an abundant number, since it is smaller than the sum of its proper divisors (333746932512).

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

164478050016 is a wasteful number, since it uses less digits than its factorization.

164478050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376424 (or 2376416 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 164478050016 in words is "one hundred sixty-four billion, four hundred seventy-eight million, fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 17304 23072 34608 69216 2376301 4752602 7128903 9505204 14257806 16634107 19010408 28515612 33268214 38020816 49902321 57031224 66536428 76041632 99804642 114062448 133072856 199609284 228124896 244759003 266145712 399218568 489518006 532291424 734277009 798437136 979036012 1468554018 1596874272 1713313021 1958072024 2937108036 3426626042 3916144048 5139939063 5874216072 6853252084 7832288096 10279878126 11748432144 13706504168 20559756252 23496864288 27413008336 41119512504 54826016672 82239025008 164478050016