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19164414420 = 22325347306827
BaseRepresentation
bin10001110110010010…
…011100000111010100
31211110121020010022200
4101312102130013110
5303222042230140
612445355524500
71245624556224
oct216622340724
954417203280
1019164414420
1181448a3228
12386a159730
131a655455b8
14cdb336084
15772715030
hex47649c1d4

19164414420 has 72 divisors (see below), whose sum is σ = 58299774624. Its totient is φ = 5095766208.

The previous prime is 19164414389. The next prime is 19164414443. The reversal of 19164414420 is 2441446191.

It is a happy number.

19164414420 is a `hidden beast` number, since 1 + 9 + 1 + 644 + 1 + 4 + 4 + 2 + 0 = 666.

It is a super-3 number, since 3×191644144203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 90954 + ... + 215873.

It is an arithmetic number, because the mean of its divisors is an integer number (809719092).

Almost surely, 219164414420 is an apocalyptic number.

19164414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19164414420 is an abundant number, since it is smaller than the sum of its proper divisors (39135360204).

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

19164414420 is a wasteful number, since it uses less digits than its factorization.

19164414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307189 (or 307184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 19164414420 in words is "nineteen billion, one hundred sixty-four million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 347 694 1041 1388 1735 2082 3123 3470 4164 5205 6246 6940 10410 12492 15615 20820 31230 62460 306827 613654 920481 1227308 1534135 1840962 2761443 3068270 3681924 4602405 5522886 6136540 9204810 11045772 13807215 18409620 27614430 55228860 106468969 212937938 319406907 425875876 532344845 638813814 958220721 1064689690 1277627628 1597034535 1916441442 2129379380 3194069070 3832882884 4791103605 6388138140 9582207210 19164414420