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193531366084 = 2274674
BaseRepresentation
bin1011010000111101011…
…1100100101011000100
3200111112112102000221111
42310033113210223010
511132323012203314
6224523532454404
716660613320000
oct2641727445304
9614475360844
10193531366084
1175092457861
123161131a404
1315333131044
14951cd63700
15507a61bec4
hex2d0f5e4ac4

193531366084 has 75 divisors (see below), whose sum is σ = 401089438687. Its totient is φ = 81704073528.

The previous prime is 193531366073. The next prime is 193531366099. The reversal of 193531366084 is 480663135391.

The square root of 193531366084 is 439922.

It is a perfect power (a square), and thus also a powerful number.

193531366084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an ABA number since it can be written as A⋅BA, here for A=4, B=469.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 2888527819 + ... + 2888527885.

Almost surely, 2193531366084 is an apocalyptic number.

193531366084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

193531366084 is the 439922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193531366084

193531366084 is an abundant number, since it is smaller than the sum of its proper divisors (207558072603).

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

193531366084 is an frugal number, since it uses more digits than its factorization.

193531366084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 193531366084 by its sum of digits (49), we get a square (9483036938116 = 30794542).

193531366084 divided by its sum of digits (49) gives a square (3949619716 = 628462).

The spelling of 193531366084 in words is "one hundred ninety-three billion, five hundred thirty-one million, three hundred sixty-six thousand, eighty-four".

Divisors: 1 2 4 7 14 28 49 67 98 134 196 268 343 469 686 938 1372 1876 2401 3283 4489 4802 6566 8978 9604 13132 17956 22981 31423 45962 62846 91924 125692 160867 219961 300763 321734 439922 601526 643468 879844 1203052 1539727 2105341 3079454 4210682 6158908 8421364 10778089 14737387 20151121 21556178 29474774 40302242 43112356 58949548 80604484 103161709 141057847 206323418 282115694 412646836 564231388 722131963 987404929 1444263926 1974809858 2888527852 3949619716 6911834503 13823669006 27647338012 48382841521 96765683042 193531366084