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191489664 = 2734311597
BaseRepresentation
bin10110110100111…
…10011010000000
3111100022200102210
423122132122000
5343010132124
631000142120
74513430622
oct1332363200
9440280383
10191489664
1199100023
1254167940
13308977c2
141b608c12
1511c27a29
hexb69e680

191489664 has 64 divisors (see below), whose sum is σ = 520518240. Its totient is φ = 62340096.

The previous prime is 191489647. The next prime is 191489677. The reversal of 191489664 is 466984191.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10714 + ... + 22310.

Almost surely, 2191489664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260259120).

191489664 is an abundant number, since it is smaller than the sum of its proper divisors (329028576).

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

191489664 is a wasteful number, since it uses less digits than its factorization.

191489664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657 (or 11645 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 191489664 is about 13837.9790431985. The cubic root of 191489664 is about 576.3882413413.

The spelling of 191489664 in words is "one hundred ninety-one million, four hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5504 8256 11597 16512 23194 34791 46388 69582 92776 139164 185552 278328 371104 498671 556656 742208 997342 1113312 1484416 1496013 1994684 2226624 2992026 3989368 4453248 5984052 7978736 11968104 15957472 23936208 31914944 47872416 63829888 95744832 191489664