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199213573914432 = 263271137673674937
BaseRepresentation
bin101101010010111100000110…
…010011101011111101000000
3222010100122001111012121122100
4231102330012103223331000
5202102403344410230212
61543405241421110400
756650464034013160
oct5522740623537500
9863318044177570
10199213573914432
1158526002a95460
121a414b129b8400
1387209b457874c
143729dba3405a0
1518070077b7bdc
hexb52f064ebf40

199213573914432 has 1344 divisors, whose sum is σ = 744234365362176. Its totient is φ = 49448731115520.

The previous prime is 199213573914427. The next prime is 199213573914461. The reversal of 199213573914432 is 234419375312991.

199213573914432 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 1 + 3 + 573 + 9 + 14 + 43 + 2 = 666.

199213573914432 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 (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 199213573914432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40351136668 + ... + 40351141604.

Almost surely, 2199213573914432 is an apocalyptic number.

199213573914432 is a gapful number since it is divisible by the number (12) 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 199213573914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372117182681088).

199213573914432 is an abundant number, since it is smaller than the sum of its proper divisors (545020791447744).

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

199213573914432 is a wasteful number, since it uses less digits than its factorization.

199213573914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5431 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 199213573914432 in words is "one hundred ninety-nine trillion, two hundred thirteen billion, five hundred seventy-three million, nine hundred fourteen thousand, four hundred thirty-two".