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2189403419904 = 28332251140717
BaseRepresentation
bin11111110111000010100…
…111001111010100000000
321202022020021210111022000
4133313002213033110000
5241332344233414104
64353444213344000
7314115313003401
oct37670247172400
97668207714260
102189403419904
11774580175578
122b43a2938000
1312b5c93c6cbc
1477d794b59a8
153be40eee639
hex1fdc29cf500

2189403419904 has 144 divisors (see below), whose sum is σ = 6477373371840. Its totient is φ = 729471744000.

The previous prime is 2189403419887. The next prime is 2189403419921. The reversal of 2189403419904 is 4099143049812.

2189403419904 is a `hidden beast` number, since 2 + 189 + 40 + 3 + 419 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2189403419887) and next prime (2189403419921).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 15488554 + ... + 15629270.

Almost surely, 22189403419904 is an apocalyptic number.

2189403419904 is a gapful number since it is divisible by the number (24) 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 2189403419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238686685920).

2189403419904 is an abundant number, since it is smaller than the sum of its proper divisors (4287969951936).

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

2189403419904 is a wasteful number, since it uses less digits than its factorization.

2189403419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142993 (or 142973 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 2189403419904 in words is "two trillion, one hundred eighty-nine billion, four hundred three million, four hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2251 2304 3456 4502 6753 6912 9004 13506 18008 20259 27012 36016 40518 54024 60777 72032 81036 108048 121554 140717 144064 162072 216096 243108 281434 288128 324144 422151 432192 486216 562868 576256 648288 844302 864384 972432 1125736 1266453 1296576 1688604 1728768 1944864 2251472 2532906 2593152 3377208 3799359 3889728 4502944 5065812 5186304 6754416 7598718 7779456 9005888 10131624 13508832 15197436 15558912 18011776 20263248 27017664 30394872 36023552 40526496 54035328 60789744 81052992 108070656 121579488 162105984 243158976 316753967 324211968 486317952 633507934 950261901 972635904 1267015868 1900523802 2534031736 2850785703 3801047604 5068063472 5701571406 7602095208 8552357109 10136126944 11403142812 15204190416 17104714218 20272253888 22806285624 30408380832 34209428436 40544507776 45612571248 60816761664 68418856872 81089015552 91225142496 121633523328 136837713744 182450284992 243267046656 273675427488 364900569984 547350854976 729801139968 1094701709952 2189403419904