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199996562189280 = 25352331788238217
BaseRepresentation
bin101101011110010101010100…
…000010111010101111100000
3222020010111002021210011211110
4231132111110002322233200
5202203220424410024110
61545205052521143320
760061163152360653
oct5536252402725740
9866114067704743
10199996562189280
11587a807a50226a
121a52081002ab40
138779796c87b5c
143755c5721389a
15181c582368a20
hexb5e5540babe0

199996562189280 has 96 divisors (see below), whose sum is σ = 632692987434144. Its totient is φ = 53103522062336.

The previous prime is 199996562189279. The next prime is 199996562189321. The reversal of 199996562189280 is 82981265699991.

199996562189280 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 (96).

It is a junction number, because it is equal to n+sod(n) for n = 199996562189193 and 199996562189202.

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, 894007269 + ... + 894230948.

It is an arithmetic number, because the mean of its divisors is an integer number (6590551952439).

Almost surely, 2199996562189280 is an apocalyptic number.

199996562189280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199996562189280 is an abundant number, since it is smaller than the sum of its proper divisors (432696425244864).

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

199996562189280 is a wasteful number, since it uses less digits than its factorization.

199996562189280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788238468 (or 1788238460 counting only the distinct ones).

The product of its (nonzero) digits is 2720977920, while the sum is 84.

The spelling of 199996562189280 in words is "one hundred ninety-nine trillion, nine hundred ninety-six billion, five hundred sixty-two million, one hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 37280 55920 111840 1788238217 3576476434 5364714651 7152952868 8941191085 10729429302 14305905736 17882382170 21458858604 26823573255 28611811472 35764764340 42917717208 53647146510 57223622944 71529528680 85835434416 107294293020 143059057360 171670868832 214588586040 286118114720 416659504561 429177172080 833319009122 858354344160 1249978513683 1666638018244 2083297522805 2499957027366 3333276036488 4166595045610 4999914054732 6249892568415 6666552072976 8333190091220 9999828109464 12499785136830 13333104145952 16666380182440 19999656218928 24999570273660 33332760364880 39999312437856 49999140547320 66665520729760 99998281094640 199996562189280