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1889879950416 = 243175361737079
BaseRepresentation
bin11011100000000101100…
…111111000010001010000
320200200002222112201112010
4123200011213320101100
5221430433231403131
64004110542102520
7253352662345563
oct33400547702120
96620088481463
101889879950416
11669547a65747
12266330b7aa40
131092a4223b13
146768377a4da
15342605beb46
hex1b8059f8450

1889879950416 has 160 divisors (see below), whose sum is σ = 5268510293760. Its totient is φ = 581540257792.

The previous prime is 1889879950381. The next prime is 1889879950457. The reversal of 1889879950416 is 6140599789881.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 266966365 + ... + 266973443.

It is an arithmetic number, because the mean of its divisors is an integer number (32928189336).

Almost surely, 21889879950416 is an apocalyptic number.

1889879950416 is a gapful number since it is divisible by the number (16) 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 1889879950416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634255146880).

1889879950416 is an abundant number, since it is smaller than the sum of its proper divisors (3378630343344).

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

1889879950416 is a wasteful number, since it uses less digits than its factorization.

1889879950416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13333 (or 13327 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 75.

The spelling of 1889879950416 in words is "one trillion, eight hundred eighty-nine billion, eight hundred seventy-nine million, nine hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 1272 1802 2544 2703 3604 5406 6173 7079 7208 10812 12346 14158 14416 18519 21237 21624 24692 28316 37038 42474 43248 49384 56632 74076 84948 98768 104941 113264 120343 148152 169896 209882 240686 296304 314823 327169 339792 361029 375187 419764 481372 629646 654338 722058 750374 839528 962744 981507 1125561 1259292 1308676 1444116 1500748 1679056 1925488 1963014 2251122 2518584 2617352 2888232 3001496 3926028 4502244 5037168 5234704 5561873 5776464 6002992 6378179 7852056 9004488 11123746 12756358 15704112 16685619 18008976 19134537 22247492 25512716 33371238 38269074 43698667 44494984 51025432 66742476 76538148 87397334 88989968 102050864 131096001 133484952 153076296 174794668 262192002 266969904 306152592 349589336 524384004 699178672 742877339 1048768008 1485754678 2097536016 2228632017 2316029351 2971509356 4457264034 4632058702 5943018712 6948088053 8914528068 9264117404 11886037424 13896176106 17829056136 18528234808 27792352212 35658112272 37056469616 39372498967 55584704424 78744997934 111169408848 118117496901 157489995868 236234993802 314979991736 472469987604 629959983472 944939975208 1889879950416